Here is the full list of all 37 Rayman Origins trophies - there are 22 bronze, 9 silver, 5 gold and 1 platinum.
Earned 1 Skull Tooth.
Completed a level without taking a hit!
Chain-Bubblized 4 Enemies.
Played an Unlocked Character in any map.
Popped 50 Enemy Bubbles.
Replayed any completed map.
Head Nymph Betilla is Free!
Won ALL trophies in the game! SICK!
Holly Luya, the Music Nymph is Free!
Edith Up, the Gourmet Fairy is Free!
Annetta Fish, the Ocean Nymph is Free!
Helena Handbasket, the Mountain Nymph is Free!
Ding, Dong, the Livid Boss is Dead!
You found 10 hidden cages.
You found 25 hidden cages.
You found ALL hidden cages.
Earned 5 speed trophies!
Earned 15 speed trophies!
Earned ALL speed trophies!
Completed 10 Medallions.
Completed 25 Medallions.
Completed ALL Medallions.
Earned 5 Skull Teeth.
Earned ALL Skull Teeth.
Inhaled 50 things on Moskito-back.
Saved ALL Darktooned Wizards in "Port 'O Panic".
One hour of flight time!
Crushed 50 Enemies.
Simultaneously crushed 4 enemies.
Sprinted a Marathon!
Swam a Marathon!
Perform a swipe-to-air Kick Combo!
Sprinted for an Entire Level!
Bounce-Bubblized 11 Enemies without landing in "Polar Pursuit!"
Beat the Giant Eel within 60 Seconds in "Aim for the Eel."
Survived a Piranha Pond without a scratch!
You Bubblized a Hunter with his own live missile!