Here is the full list of all 41 Disney Universe trophies - there are 29 bronze, 7 silver, 4 gold and 1 platinum.
Defeat 100 enemies.
Store 1,000 coins in the bank.
Defeat an enemy whilst riding an animal.
Collect all of the World Collectables within one level.
Defeat the Brute.
Defeat 5 enemies using a single Power Punch power-up.
Collect all other trophies!
Complete all of the worlds.
Complete the Aladdin world.
Complete the Alice world.
Complete the Lion King world.
Complete the Monsters, Inc. world.
Complete the Pirates of the Caribbean world.
Complete the WALL-E world.
Get a Gold Grade for a world.
Get a Gold Grade for all worlds.
Collect all of the World Collectables within a location.
Collect all of the World Collectables within a world.
Collect all of the World Collectables in the game.
Purchase a costume.
Purchase all of the costumes.
Fully upgrade a costume.
Fully upgrade all of a world's costumes.
Fully upgrade all of the costumes in the game.
Play 50 Challenges.
Win 50 Challenges.
Defeat Roto.
Defeat the Spawner.
Defeat the Bulldog.
Store 10,000 coins in the bank.
Complete a level in multiplayer.
Complete a level with 4 players.
Defeat 5 players in a single level.
Defeat another player by throwing them.
Defeat 500 enemies.
Defeat 5 enemies using a single Snowman power-up.
Defeat 5 enemies using a single Medusa power-up.
Defeat 5 enemies using a single Shooter power-up.
Transfer a curse to another player.
Complete a level without respawning.
Complete a level without using help arrows.