Here is a list of Trophies that you can get from Playstation 3 version of the game. And version Xbox 360 is Achievements. Total 40 Achievements and of the PS3 41 Trophies
Platinum Universe! - Collect all other trophies! (Only for PlayStation 3 version)
Saviour of the Universe! - Complete all other worlds.
Hero of Sands - Complete the Aladdin World
Time for Tea! - Complete the Alice in Wonderland World
It means no Worries! - Complete The Lion King World
Scary Feet! - Complete the Monsters Inc World
Swash Buckler - Complete the Pirates of The Caribbean World
Returning to Earth - Complete the WALL-E World
World Beater - Get a Gold Grade for a World.
Champion of the Universe - Get a Gold Grade for all Worlds.
Collectables - Get all of the World Collectables within a World.
Compulsive Collector - Collect all of the World Collectables within the game.
Suit Up! - Purchase a Costume.
Dressed for Success! - Purchase all of the Costumes.
Four Star Costume! - Fully upgrade a Costume.
World of Hurt! - Fully upgrade all of a World's Costumes.
Ultimate Cosmic Power! - Fully upgrade all of the costumes in the game.
Challenge Addict - Play 50 challenges
Time for a Diet! - Defeat the Spawner.
Bad Dog! - Defeat the Bulldog.
Gold Hoarder - Store 1,000 Gold in the bank
Richer than a McDuck! - Store 10,000 Gold in the bank
Along for the Ride - Complete a lvel in multiplayer.
All Together Now! - Complete a level with 4 players.
Playing to Win! - Defeat 5 players in a single level.
To Inifity... and Beyond! - Defeat another player by throwing them.
Keep 'Em Coming - Defeat 100 enemies.
Anti-Virus! - Defeat 500 enemies.
Giddy Up! - Defeat an enemy whilst riding an animal.
Freeze! - Defeat 5 enemies using a single Snowman power-up.
Boxing Clever - Defeat 5 enemies using a single Power Punch power-up.
Bad Hair Day - Defeat 5 enemies using a single Medusa power-up.
Rapid Fire - Defeat 5 enemies with a single Shooter power-up.
Tag! You're it! - Transfer a Curse to another player.
Unstoppable! - Complete a level without respawning.
Old School - Complete a level without using help arrows.