Here is the full list of all 51 Rayman Legends trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Go through "Mansion of the Deep" without crossing any light from a Dark Sentry or touching any laser
Save enough Teensies and get rid of the Dark Teensies to make all the Invasion paintings appear
Kill 10 Toads using their electric projectiles
Pull 100 turnips out of the ground
In one run of "Lucha Libre Get Away", let the Luchador kill 10 enemies for you
With Barbara or Elysia, slide on your axe for 30 meters
Destroy 5 Rubber Ducks sent by Sharkmen
Complete the "Gloo Gloo" painting
Get rid of the five Dark Teensies
Rescue 300 Teensies
Complete the "Dragon Slayer" painting
Take part at least once in the 4 different Challenges
Unlock all the Challenge paintings
Beat one of your friends' scores in a Challenge
Get rid of 100 enemies with the Flying Punch
Kill 5 enemies using turnips
Stand on top of an enemy with a shield until he tries to attack you
Collect all the lums flying above the bouncing island in "The Mysterious Inflatable Island"
Collect enough lums to unlock 10 Heroes paintings in the Heroes Gallery
Complete the "Mariachi Madness" painting
Win one Kung Foot game
Rescue 150 Teensies
Win a Bronze cup at the end of a Challenge
Go fast enough to save 3 Teensies in an Invasion painting
Complete the "Orchestral Chaos" painting
Destroy the parachutes of 5 enemies to make them fall
Win a Gold cup at the end of a Challenge
Finish your first "Back to Origins" painting
Win a Silver cup at the end of a Challenge
Scratch 10 lucky tickets
Complete the "Castle Rock" painting
Get the 3 lums cups and the 3 Teensy cups of a painting
Free The Barbarian princess
Pull a turnip out of the ground with a crush attack, then hit it with a jump kick
Win all trophies in the game!
Complete the "Living Dead Party" world
Rescue the 10 princesses
Rescue all the kidnapped Teensies
Win and scratch all the lucky tickets
Gather 1 million lums and unlock the final Hero
Win 30 creatures
Win all the creatures
Break all the locks on the worlds' and levels' paintings
Save all the Teensies in one world to win a Diamond Cup
Win all the Bronze Cups from the paintings
Win all the Silver Cups from the paintings
Win all the Gold Cups from the paintings
Win all the Diamond Cups from the World paintings
Finish all the "Back to Origins" paintings
Beat your friends' scores in the Challenges 30 times
Reach the final level of Awesomeness