Project Pokémon Bot

In Pokemon Sun & Moon, and Ultra Sun & Moon, Tapu Lele can be found at Ruins of Life, after the player becomes Champion.

This encounter cannot be shiny. Details below refer specifically to this file.
 Species   Tapu Lele   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ruins of Life   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Hardy   Ability   Psychic Surge (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Nature's Madness   Extrasensory   Flatter   Moonblast Format Ver.1.0.5-5, Post Updated Date:20171122_2259

In Pokemon Ultra Sun, after battling Gladion at the base of Mount Lanakila, Solgaleo can be found at the edge of Mahalo Trail.

After the capture, the player will be given the Solgalium Z by Lillie.
This encounter cannot be shiny. Details below refer specifically to this file.
 Species   Solgaleo   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Mahalo Trail   Dates   Dec 02, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Jolly   Ability   Full Metal Body (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Sunsteel Strike   Cosmic Power   Crunch   Zen Headbutt Format Ver.1.0.5-5, Post Updated Date:20171129_1833

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Regigigas resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Regigigas   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 17, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Lax   Ability   Slow Start (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Zen Headbutt   Revenge   Dizzy Punch   Confuse Ray Format Ver.1.0.5-5, Post Updated Date:20171129_1837

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Heatran resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Heatran   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Dec 02, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Modest   Ability   Flash Fire (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Crunch   Scary Face   Lava Plume   Fire Spin Format Ver.1.0.5-5, Post Updated Date:20171129_1839

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Giratina resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Giratina (Altered)   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 19, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Sassy   Ability   Pressure (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Shadow Force   Aura Sphere   Earth Power   Dragon Claw Format Ver.1.0.5-5, Post Updated Date:20171129_1841

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Cresselia resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Cresselia   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Timid   Ability   Levitate (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Aurora Beam   Future Sight   Slash   Moonlight Format Ver.1.0.5-5, Post Updated Date:20171129_1842

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Cobalion resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Cobalion   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 19, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Lonely   Ability   Justified (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Sacred Sword   Swords Dance   Quick Attack   Iron Head Format Ver.1.0.5-5, Post Updated Date:20171129_1844

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Terrakion resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Terrakion   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Timid   Ability   Justified (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Sacred Sword   Swords Dance   Rock Slide   Stone Edge Format Ver.1.0.5-5, Post Updated Date:20171129_1847

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Virizion resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Virizion   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 19, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Bold   Ability   Justified (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Sacred Sword   Swords Dance   Giga Drain   Leaf Blade Format Ver.1.0.5-5, Post Updated Date:20171129_1848

After defeating the Elite Four for the first time, 50% Zygarde can be seen during the credits roll, at the Resolution Cave.
When the player travels to the cave, Zygarde will be there waiting.

This encounter cannot be shiny. Details below refer to this specific file.
 Species   Zygarde   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Resolution Cave   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Hardy   Ability   Aura Break (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Land's Wrath   Glare   Safeguard   Dragon Breath Format Ver.1.0.5-5, Post Updated Date:20171129_1858

After capturing Zygarde 50% (With Aura Break) at the Resolution Cave, and subsequently defeating SinaUS/DexioUM at the Aether Branch with the Reassembly Unit located at Route 16,
the player will be given a Zygarde 10% (with Aura Break), and the Zygarde Cube containing 40 cells.

This gift cannot be shiny. Details below refer to this specific file.
 Species   Zygarde (AB 10%)   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Gift   Location   Route 16   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 63                                                                  Nature   Quirky   Ability   Aura Break (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Crunch   Earthquake   Camouflage   Dragon Pulse Format Ver.1.0.5-5, Post Updated Date:20171129_1904

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Tornadus resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Tornadus (Incarnate)   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Dec 02, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Quirky   Ability   Prankster (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Air Slash   Crunch   Tailwind   Rain Dance Format Ver.1.0.5-5, Post Updated Date:20171129_1908

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Thundurus resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Thundurus (Incarnate)   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Bashful   Ability   Prankster (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Discharge   Crunch   Charge   Nasty Plot Format Ver.1.0.5-5, Post Updated Date:20171129_1909

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Reshiram resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Reshiram   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 19, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Calm   Ability   Turboblaze (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Slash   Extrasensory   Fusion Flare   Dragon Pulse Format Ver.1.0.5-5, Post Updated Date:20171129_1911

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Zekrom resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Zekrom   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 17, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Calm   Ability   Teravolt (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Slash   Zen Headbutt   Fusion Bolt   Dragon Claw Format Ver.1.0.5-5, Post Updated Date:20171129_1914

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the Legendary Pokemon Landorus resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Landorus (Incarnate)   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Nov 19, 2017   PID   Cannot Be Shiny   Games   Ultra Sun    Lv. 60                                                                  Nature   Careful   Ability   Sand Force (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Earth Power   Rock Slide   Earthquake   Sandstorm Format Ver.1.0.5-5, Post Updated Date:20171129_1916

In Pokemon Ultra Moon, by traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Crater,
where the Ultra Beast Celesteela resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Celesteela   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Crater   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Relaxed   Ability   Beast Boost (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Autotomize   Seed Bomb   Skull Bash   Iron Defense Format Ver.1.0.5-5, Post Updated Date:20171129_1921

In Pokemon Ultra Sun & Ultra Moon, by traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Plant,
where the Ultra Beast Xurkitree resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
 Species   Xurkitree   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Plant   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Impish   Ability   Beast Boost (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Hypnosis   Discharge   Electric Terrain   Power Whip Format Ver.1.0.5-5, Post Updated Date:20171129_1924

In Pokemon Sun & Moon, and Ultra Sun & Moon, Tapu Bulu can be found at Ruins of Abundance, after the player becomes Champion.

This encounter cannot be shiny. Details below refer specifically to this file.
 Species   Tapu Bulu   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ruins of Abundance   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Impish   Ability   Grassy Surge (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Nature's Madness   Zen Headbutt   Megahorn   Skull Bash Format Ver.1.0.5-5, Post Updated Date:20171129_1926

In Pokemon Sun & Moon, and Ultra Sun & Moon, Tapu Fini can be found at Ruins of Hope, after the player becomes Champion.

This encounter cannot be shiny. Details below refer specifically to this file.
 Species   Tapu Fini   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ruins of Hope   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Hasty   Ability   Misty Surge (1)   Item   None 
    Moves   (ITALIC means Relearnable)   Nature's Madness   Muddy Water   Aqua Ring   Hydro Pump Format Ver.1.0.5-5, Post Updated Date:20171129_1928

After becoming Champion for the first time, the player gets to receive a Type: Null.

For Pokémon Sun & Moon, the player receives the Type: Null as a gift from Gladion at Aether Paradise.
For Pokémon Ultra Sun & Ultra Moon, Wicke will give the player a Type: Null entrusted to you from Gladion, at the Ancient Poni Path.

This gift has a chance of being shiny. Details below refer specifically to this file.
     Species   Type: Null   Nickname   (default, in )   OT   PPorg   TID   181116   Distribution   In-Game Encounter   Location   Aether Paradise   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Sun                                                                Lv. 40    Nature   Timid   Ability   Battle Armor (1)   Item   None    Moves   (ITALIC means Relearnable)   Crush Claw   Scary Face   X-Scissor   Take Down

   (no ribbons) Format Ver.1.0.7-0, Post Updated Date:20190330_1911
 Species   Type: Null   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Gift   Location   Ancient Poni Path   Dates   Nov 18, 2017   PID   Cannot Be Shiny   Games   Ultra Moon    Lv. 60                                                                  Nature   Naive   Ability   Battle Armor (2)   Item   None 
    Moves   (ITALIC means Relearnable)   Metal Sound   Iron Head   Double Hit   Air Slash Format Ver.1.0.5-5, Post Updated Date:20171129_1934

With the release of Pokémon Crystal to 3DS's Virtual Console, it became possible for players to encounter the Mythical Pokémon Celebi and transfer it up to Generation VII.

Similar to the Mew event distributed to Virtual Console of Pokémon Red, Green, Blue and Yellow,
the Celebi will have a minimum of 5 perfect IVs. As a result, this limits the type of Hidden Power it can have, to namely Dark, Dragon, Electric, Steel or Ice.
As Pokémon Crystal was not released to the Korean 3DS, it is not possible for a legal Korean-language Celebi of Virtual Console origin to exist. (Though important to note, as of present, PokeTransporter allows it to be transported up)

The details below relate to the encounter, not the file itself.
Note: As per any Virtual Console transfer, the origin game of the Pokémon is set to the game it was transferred from,
not the game it was caught in.
     Species   Celebi   Nickname   (default, save lang)   OT   (recipient)   TID   (recipient)   Distribution   In-Game Encounter   Location   the Johto region   Dates   (Various)   PID   Chance of Shiny   Games   VC Crystal                                                                Lv. 30    Nature   Random   Ability   Natural Cure (1)   Item   None    Moves   (ITALIC means Relearnable)   Heal Bell   Safeguard   Ancient Power   Future Sight
  Format Ver.1.0.6-1, Post Updated Date:20180126_2313

This gift was programmed in the game to be shiny locked. However, due to a programming oversight,
it is possible to receive the Partner Cap Pikachu as shiny (standard odds),
if your Trainer Shiny Value (TSV) is not 1009. This is the only Pikachu Cap Variant that can be received shiny.
(Note: Still available shiny, up to update Version 1.2)

How the game mechanic worked, was that the game would generate a PID that is not shiny compared to your TID/SID.
After that generation, the game will proceed to overwrite the Pikachu's TID/SID with Ash's.
Hence, there is a chance that the PID generated for the Pikachu will be shiny against TID/SID of Ash, as the game doesn't check for that.

This was discovered by @wwwwwwzx when reviewing the game's code, who then went ahead to test and prove it with RNG.
A few other users also corroborated the data with their own findings.

The data below refers to the file itself, not the encounter as a whole.
   Species   Pikachu (Partner Cap)   Nickname   (default, in )   OT   Ash   TID   170715   Distribution   In-Game Gift   Location   2017 Pokémon Movie   Dates   (various dates)   PID   Shiny PID   Games   Ultra Moon 
(and Ultra Sun)                                                                Lv. 21    Nature   Hardy   Ability   Static (1)   Item   Pretty Wing    Moves   (ITALIC means Relearnable)   Thunderbolt   Quick Attack   Thunder   Iron Tail

Wishing Format Ver.1.0.6-1, Post Updated Date:20180207_2340

By traversing the Ultra Wormhole via the Ultra Warp Ride, players can reach the Ultra Space Wilds,
where the lake guardian Mesprit resides.

The encounter itself has a chance of being shiny.
The details below refer to this specific file.
     Species   Mesprit   Nickname   (default, in )   OT   PPorg   TID   171117   Distribution   In-Game Encounter   Location   Ultra Space Wilds   Dates   Mar 01, 2018   PID   Cannot Be Shiny   Games   Ultra Moon                                                                Lv. 60    Nature   Gentle   Ability   Levitate (1)   Item   None    Moves   (ITALIC means Relearnable)   Extrasensory   Charm   Future Sight   Swift
  Format Ver.1.0.6-1, Post Updated Date:20180226_1241

Players receive this starter in Sun, Moon, Ultra Sun & Ultra Moon.
     Species   Rowlet   Nickname   (default, save lang)   OT   (recipient)   TID   (recipient)   Distribution   In-Game Gift   Location   Route 1USUM / Iki TownSM   Dates   (Various)   PID   Chance of Shiny   Games   SM USUM                                                                Lv. 5    Nature   Random   Ability   Overgrow   Item   None    Moves   (ITALIC means Relearnable)   Tackle   Leafage   Growl   (None)
  Format Ver.1.0.6-2, Post Updated Date:20180427_1634