Defeat Ghetsis and Team Plasma
Complete the National Pokédex, excluding Mew, Celebi, Jirachi, Deoxys, Phione, Manaphy, Darkrai, Shaymin, Arceus, Victini, Keldeo, Meloetta, and Genesect
Collect all 100 Pokémon Musical Props
Obtain all the 33 Entralink Pass Powers
Defeat both Ingo and Emmet on the Super Single and Super Double Trains on the Battle Subway
https://bulbapedia.bulbagarden.net/wiki/Trainer_Card_level