Project Pokémon Bot

As Season 2 of Ranked Battles closed, the players that participated are awarded various items, based on their tier level.
While the wonder cards between Singles and Doubles differed, they received the same items.
Tiers Item Gifts       BPs Beginner Ability Capsule x1 Bold Mint x1 Calm Mint x1   50 Poké Ball Ability Capsule x1 Bold Mint x1 Calm Mint x1   50 Great Ball Bottle Cap x3 Ability Capsule x1 Bold Mint x1 Calm Mint x1 100 Ultra Ball Gold Bottle Cap x1       300 Master Ball Gold Bottle Cap x3       600  

Pokemon Emerald introduced an array of post-game battle facilities, which is hosted on the island called Battle Frontier.
Besides roping in the existing Battle Tower from Pokemon Ruby & Sapphire, the newer facilities hosts various challenges and rules,
unique to their own facility and differentiates them from the traditional Battle Tower (and each other).

In 2 of the facilities, namely Battle Pike and Battle Pyramid, it is possible to encounter wild Pokemon, and none of these can be captured.
(and to totally break you, these Pokemon can be shiny. *sad* )

@jojo12100 grabbed all these Pokemon straight from the RAM, and used @BlackShark's tool to decrypt said Pokemon.


Below illustrates a comprehensive list of what Pokemon are available, and another complete list of Pokemon can also be found here
Battle Pyramid Obtainable Pokemon 1 2 3 4 5 6 7 8 Paralysing Pokemon Plusle Minum Pikachu Electabuzz Villeplume Electsprint Breloom Jolteon Poisonning Pokemon Gulpin Roselia Butterfree Seviper Skarmory Ludicolo Crobat Gengar Burning Pokemon Growlithe Vulpix Magcargo Ninetales Medicham Weezing Dusclops Houndoom PP waster Pokemon Dunsparce Banette Misdreavus Ninetales Absol Gengar Dusclops Shedinja Levitate Pokemon Haunter Chimecho Solrock Misdreavus Claydol Weezing Flygon Gengar Trapping Pokemon Diglett1 Trapinch1 Wynaut1 Diglett2 Trapinch2 Wynaut2 Wobbuffet Dugtrio Ice Pokemon Glalie Sneasel Dewgong Piloswine Jynx Cloyster Lapras Walrein Destructing Pokemon Weezing Electrode Gengar Golem Pineco Solrock Forretress Shiftry Psychic Pokemon Wobbuffet Metang Exeguttor Slowking Xatu Alakazam Starmie Espeon Rock Pokemon Golem Steelix Omastar Luantone Shuckle Armaldo Cradily Aerodactyl Fighting Pokemon Poliwrath Hariyama Breloom Medicham Hitmoncham Hitmonlee Heracross Machamp Weather Pokemon Quagsire Tropius Pupitar Lapras Cacturne Flareon Walrein Gyarados Bug Pokemon Pineco Shuckle Venomoth Scizor Heracross Forretress Armaldo Shedinja Dark Pokemon Sableye Sneasel Crawdaunt Shiftry Cacturne Absol Houndoom Umbreon Water Pokemon Octillery Dewgong Pelipper Quagsire Ludicolo Slowking Starmie Blastoise Ghost Pokemon Duskull Haunter Banette Misdreavus Sableye Dusclops Shedinja Gengar Steel Pokemon Mawile Magneton Steelix Scizor Forretress Skarmory Aggron Metagross Dragon Pokemon Dragonair Vibrava Altaria Flygon Aerodactyl Gyarados Kingdra Charizard Evolution Stone Pokemon Arcanine Poliwrath Raichu Vaporeon Jolteon Flareon Ninetales Starmie Normal Pokemon Kangaskhan Swellow Ursaring Porygon2 Tauros Fearow Snorlax Slaking  
Battle Pike Rom 1-280 Dusclops Milotic Seviper Rom 281-560              Electrode Milotic Seviper Rom 561-840 Breloom Milotic Seviper Rom 841+ Wobbuffet Milotic Seviper Those that are highlighted are ones that are already obtained.
 
Original Thread:

This gift was distributed via Serial Code to players who preordered the movie tickets to M22: Mewtwo's Counterattack Evolution in Japan.
This gift comes with 200 in every AV stat. Additionally 3 out of 6 IV stat are 31, and the rest have the value of 30.
The Trainer ID signifies the date of M01: Mewtwo Strikes Back's first release in Japan: July 18th, 1998.
* Interestingly, there are bitflags that indicates that 2 additional (unknown) games are eligible to receive this wonder card. Maybe they're testing it on Sword & Shield?
(Note: The event redemption period ends before Sword & Shield is released, though)
Thanks @wo0ts for his contribution!
   Wonder Card ID #0002: Mewtwo Gift  Species   Mewtwo   TID   980718   Distribution   Serial Code   Location   2019 Pokémon Movie   Dates   Apr 12 to Sep 30, 2019   PID   Cannot Be Shiny   Games   Let's Go Pikachu & Eevee 
 * ?1 ?2   Nature   Quiet   Card Per Save   Multiples Allowed                                                               
  Lv. 70       Moves   (ITALIC means Relearnable)   Psychic   Shadow Ball   Barrier   Calm Mind  Lang
 Slot    OT Name    Nickname   Preset 
Lang   JPN    はかせ    (default name)    ENG    はかせ    (default name)    FRE    はかせ    (default name)    GER    はかせ    (default name)    ITA    はかせ    (default name)    SPA    はかせ    (default name)    KOR    はかせ    (default name)    CHS    はかせ    (default name)    CHT    はかせ    (default name)   Format Ver.1.0.7-0, Post Updated Date:20190425_0658
What can be done with these files
PKM creation with PKHeX (drag & drop the wondercard file in the spot where you want the Pokémon) In-Game Mystery Gift redemption with Switch Gift Data Manager

During of the Pokémon Festa 2019 from May 3rd, 2019 to May 12th, at the Starfield Hanam Store, Coex Mall, showing Let's Go Pikachu or Let's Go Eevee or PokéBall Plus each will award you one serial code.
Shiny Pikachu can only be redeemed on Let's Go Eevee.

When this gift is redeemed on a non-Korean languaged save, the Original Trainer name may be displayed as question marks.


 Wonder Card ID #1001: Shiny Pikachu Gift  Species   Pikachu   TID   190501   Distribution   Serial Code   Location   a lovely place   Dates   May 01 to Jul 31, 2019   PID   Shiny PID   Games   Let's Go Eevee   Nature   Random   Card Per Save   Only One Allowed                                                               
  Lv. 10       Moves   (ITALIC means Relearnable)   Thunderbolt   Quick Attack   Iron Tail   Helping Hand  Lang
 Slot    OT Name    Nickname   Preset 
Lang   JPN    베스트프렌드    (default name)    ENG    베스트프렌드    (default name)    FRE    베스트프렌드    (default name)    ITA    베스트프렌드    (default name)    GER    베스트프렌드    (default name)    SPA    베스트프렌드    (default name)    KOR    베스트프렌드    (default name)    CHS    베스트프렌드    (default name)    CHT    베스트프렌드    (default name)   Format Ver.1.0.8-3b4, Post Updated Date:20191101_0403
What can be done with these files
PKM creation with PKHeX (drag & drop the wondercard file in the spot where you want the Pokémon) In-Game Mystery Gift redemption with Switch Gift Data Manager

As part of the promotion for the movie Detective Pikachu, when players visit a Target store in the US and use the Pokémon Pass application on their smartphones, they were given a serial code that can be used with Let's Go Pikachu & Eevee.
Distribution of serial codes ran from May 11 to June 23, 2019. The code must be redeemed by August 29, 2019.

Shiny Eevee were gifted to Let's Go Pikachu, and Shiny Pikachu were gifted to Let's Go Eevee.


 Wonder Card ID #0501: Shiny Eevee Gift  Species   Eevee   TID   190511   Distribution   Serial Code   Location   a lovely place   Dates   May 11 to Aug 29, 2019   PID   Shiny PID   Games   Let's Go Pikachu   Nature   Random   Card Per Save   Only One Allowed                                                               
  Lv. 10       Moves   (ITALIC means Relearnable)   Double-Edge   Iron Tail   Helping Hand   Facade  Lang
 Slot    OT Name    Nickname   Preset 
Lang   JPN    Bullseye    (default name)    ENG    Bullseye    (default name)    FRE    Bullseye    (default name)    ITA    Bullseye    (default name)    GER    Bullseye    (default name)    SPA    Bullseye    (default name)    KOR    Bullseye    (default name)    CHS    Bullseye    (default name)    CHT    Bullseye    (default name)   Format Ver.1.0.8-3b4, Post Updated Date:20191101_0402
What can be done with these files
PKM creation with PKHeX (drag & drop the wondercard file in the spot where you want the Pokémon) In-Game Mystery Gift redemption with Switch Gift Data Manager

As part of the promotion for the movie Detective Pikachu, when players visit a Target store in the US and use the Pokémon Pass application on their smartphones, they were given a serial code that can be used with Let's Go Pikachu & Eevee.
Distribution of serial codes ran from May 11 to June 23, 2019. The code must be redeemed by August 29, 2019.

Shiny Eevee were gifted to Let's Go Pikachu, and Shiny Pikachu were gifted to Let's Go Eevee.


 Wonder Card ID #0501: Shiny Pikachu Gift  Species   Pikachu   TID   190511   Distribution   Serial Code   Location   a lovely place   Dates   May 11 to Aug 29, 2019   PID   Shiny PID   Games   Let's Go Eevee   Nature   Random   Card Per Save   Only One Allowed                                                               
  Lv. 10       Moves   (ITALIC means Relearnable)   Thunderbolt   Double Kick   Double Team   Thunder  Lang
 Slot    OT Name    Nickname   Preset 
Lang   JPN    Bullseye    (default name)    ENG    Bullseye    (default name)    FRE    Bullseye    (default name)    ITA    Bullseye    (default name)    GER    Bullseye    (default name)    SPA    Bullseye    (default name)    KOR    Bullseye    (default name)    CHS    Bullseye    (default name)    CHT    Bullseye    (default name)   Format Ver.1.0.8-3b4, Post Updated Date:20191101_0400
What can be done with these files
PKM creation with PKHeX (drag & drop the wondercard file in the spot where you want the Pokémon) In-Game Mystery Gift redemption with Switch Gift Data Manager

In commemoration for the release of the TCG: Unified Minds expansion, an event Mewtwo was distributed to players in Europe via serial code.
Mewtwo was likely being distributed because it is one of the featured Pokémon for the new expansion.
Credits to Fade/seiferzero and Djoke12100 for helping us with this entry!
   Wonder Card ID #0502: Mewtwo Gift  Species   Mewtwo   TID   190801   Distribution   Serial Code   Location   a lovely place   Dates   Aug 09, 2019 
to Apr 30, 2020   PID   Cannot Be Shiny   Games   Let's Go Pikachu & Eevee   Nature   Random   Card Per Save   Only One Allowed                                                               
  Lv. 70       Moves   (ITALIC means Relearnable)   Amnesia   Psychic   Teleport   Recover  Lang
 Slot    OT Name    Nickname   Preset 
Lang   JPN    Giovanni    (default name)    ENG    Giovanni    (default name)    FRE    Giovanni    (default name)    ITA    Giovanni    (default name)    GER    Giovanni    (default name)    SPA    Giovanni    (default name)    KOR    Giovanni    (default name)    CHS    Giovanni    (default name)    CHT    Giovanni    (default name)   Format Ver.1.0.8-2, Post Updated Date:20190811_0349
 
Original news article: https://projectpokemon.org/home/forums/topic/54201-lgpe-unified-minds-mewtwo/
What can be done with these files
PKM creation with PKHeX (drag & drop the wondercard file in the spot where you want the Pokémon) In-Game Mystery Gift redemption with Switch Gift Data Manager

This gift was distributed to players in the US via the Pokémon Pass app. By accessing the app in any Best Buy store, players get serial codes that can be used to redeem this Mewtwo.
The giveaway dates on the app is between November 4th to November 14, 2019. That being said, some players have been able to access it as early as November 1st.
The redemption of the code is till March 5th, 2020.
As events for Let's Go Pikachu & Eevee are not region locked, the serial code can be redeemed on Switches of any region.

   Wonder Card ID #0503: Mewtwo Gift  Species   Mewtwo   TID   191104   Distribution   Serial Code   Location   a lovely place   Dates   Nov 04 '19 to Mar 05, '20   PID   Cannot Be Shiny   Games   Let's Go Pikachu & Eevee   Nature   Random   Card Per Save   Only One Allowed                                                               
  Lv. 70       Moves   (ITALIC means Relearnable)   Amnesia   Psychic   Teleport   Recover  Lang
 Slot    OT Name    Nickname   Preset 
Lang   JPN    Giovanni    (default name)    ENG    Giovanni    (default name)    FRE    Giovanni    (default name)    ITA    Giovanni    (default name)    GER    Giovanni    (default name)    SPA    Giovanni    (default name)    KOR    Giovanni    (default name)    CHS    Giovanni    (default name)    CHT    Giovanni    (default name)   Format Ver.1.0.8-3b4, Post Updated Date:20191102_0311
What can be done with these files
PKM creation with PKHeX (drag & drop the wondercard file in the spot where you want the Pokémon) In-Game Mystery Gift redemption with Switch Gift Data Manager

The Players Cup 2 was an online tournament where players around the world could take part to win prizes. During the stream, a Gold Bottle Cap was distributed to viewers and players around the world, via serial code PC2F1NALSSTREAM.
 
As of LGPE, wonder cards are no longer stored in saves. As such, players will not be able to inject this event into their save using PKHeX.
 Wonder Card ID #0508: Gold Bottle Cap Gift   Here's what you got:    Gold Bottle Cap x1                                   Serial Code | SWSH | Only One Allowed | Dec 12 to Dec 14, 2020 Format Ver.2.0.0-13b, Post Updated Date:20201212_1731

This gift was distributed to players via Local Wireless, to players that went to the site of the Korean League, at Hanwha Galleria Foret G Floor, 32-14 Seoul Forest, Seongdong-gu, Seoul.
Players with Ultra Sun received Zekrom, and players with Ultra Moon received Reshiram.
     Species   Zekrom   Nickname   (default, save lang)   OT   코리안리그   TID   190608   Distribution   Local Wireless   Location   a lovely place   Dates   Jun 08 to Jun 09, 2019   PID   Cannot Be Shiny   Games   All Regions 3DS: US                                                                Lv. 100    Nature   Random   Ability   Teravolt (1)   Item   Gold Bottle Cap   Bundled Item   None   Card Per Save   Only One Allowed    Moves   (ITALIC means Relearnable)   Fusion Bolt   Bolt Strike   Outrage   Stone Edge   WC ID 1155: 「흑음포켓몬 제크로무 선물!」's receiving text 0x2B Thank you for coming to the Pokémon event! Please pick up your gift from the deliveryman in any Pokémon Center.

Classic 흑음포켓몬 제크로무 선물! 2018-19 코리안리그 파이널 시즌
개최를 기념하여
흑음포켓몬 제크로무를 선물합니다! Format Ver.1.0.8-2, Post Updated Date:20190613_1322

The international version of the Colosseum Bonus Disc Pikachu was translated and programmed into Pokemon Colosseum, but was never released to players.
@HaxAras managed to use some codes and trickery to gain access to the english events.
Statement regarding the event:
Original Thread:
Thanks to @SkyLink98 for the Italian ARENA Pikachu.

Glastrier & Spectrier
These are a Glastrier and a Spectrier that were forced-set to be catchable, from the Crown Tundra Legends (2022) event.
The event featured a lv. 60 Galstrier/Spectrier that was not catchable.
GMax Urshifu and Shiny GMax Urshifu (Single Strike  & Rapid Strike)
These are a Single Strike Urshifu and a Rapid Strike Urshifu, both with the ability to Gigantamax, that were forced-set to be catchable, from the Urshifu Challenge (2022) event.
The event featured a lv. 60 Single Strike/Rapid Strike Urshifu that were not catchable.
During the first hours of the event it was possible to encounter their Shiny variant with standard odds.
Zeraora & Shiny Zeraora
These are a Zeraora and a Shiny Zeraora that were forced-set to be catchable, from the Zeraora Challenge (2020) event.
The event featured a Zeraora (of various levels) and a lvl. 100 Shiny Zeraora that were not catchable.
Mewtwo
This is a Mewtwo that was forced-set to be catchable, from the Pokémon Day (2020) event.
Even tho it was battled with 6 perfect IVs, when caught, it doesn't have any IVs.
(It's a game mechanic to only offer 0, 2 and 3 guaranteed IVs, when caught.)
Cinderace
This is a Gigantamax Cinderace that was forced-set to be catchable, from the Easter (2021) event.
The event featured a Level 60 Gigantamax Cinderace that was not catchable by the player.
Magikarp
This is a Magikarp that was forced-set to be catchable, from the April Fools (2021) event.
The event featured a Magikarp (of various levels) that was not catchable by the player.

In the year 2005, various Pokémon were distributed as eggs with special moves, where in that particular generation or games, they normally have no access to those moves.
Players could receive the wonder card at the PokéPark in Japan via the NDS Download Play feature, receivable by all the Generation III games.
(Though required them to play the games on a NDS)

Additionally, players that had the GBA Wireless Adapter and the respective games (FireRed, LeafGreen and Emerald),
could receive the gift on their GBA using the Mystery Gift and Wireless Adapter capabilities to connect to a JOYSPOT,
at the Market Fantasia.
The distribution ran from March 12 to May 8, 2005.

This event was distributed to players at the New York Pokémon Center: Gotta catch 'em all! Station,
and the machine were distribuing various PCNY Pokémon across the period of November 22, 2001 to March 13, 2003.

The schedule of Pokemon changes weekly, and players were restricted to collecting one Pokemon per week per visit,
and the restriction was enforced by the distribution machine; it checks for data stored in the Gen 2 save itself.
It appears that the data stored is the header/title, which is checked against the distribution data.

This Ho-Oh has a 0.5% chance of occurring, and was always distributed as shiny.
A more comprehensive schedule list can be seen here.

The dates for distribution was:
November 15 to 21, 2002
December 6 to 12, 2002


A more comprehensive schedule list can be seen here.
DUE TO HAVING AN EVENT LOCATION,
THIS POKEMON WILL NOT BE LEGAL WITH ANY VIRTUAL CONSOLE RELEASE
(AND BY EXTENSION, CANNOT BE TRANSFERRED TO GEN 7 AND ONWARDS).


If you want more Shiny Ho-Oh, or various other PCNY mons, @Deoxyz has compiled a save containing mons received from the PCNY distribution machine here.
If you want to learn move information, check out these videos. [1][2][Q&A vid]