Here is the full list of all 31 Teenage Mutant Ninja Turtles: Shredder's Revenge trophies - there are 14 bronze, 10 silver, 6 gold and 1 platinum.
Complete all of the special requests in Story Mode.
Cheer up the same teammate 3 times in a single stage.
Cheer up Raphael while playing as Casey Jones.
Play as Casey Jones.
Complete the Story Mode.
Find all cameos in Story Mode.
Stop Chrome Dome before he can rebuild the old Technodrome in Story Mode.
Retreat the Triceraton empire in Story Mode.
Find 5 different collectibles in Story Mode.
Eat 20 pizzas.
Destroy 200 breakable objects.
Win the mini-game in Coney Island.
Deflect 10 projectiles.
Put an end to Bebop and Rocksteady's run in Story Mode.
Throw 16 enemies toward the camera.
Finish a boss using a Super Attack.
Trespass the royal grounds of NYC sewers and defeat the Rat King in Story Mode.
Revive a teammate in multiplayer.
Got hit while performing a taunt.
Stop the rogue Channel 6 broadcast in Story Mode.
Complete a Stage in any mode in multiplayer.
Perform 10 Team Attacks in multiplayer.
Unlock all the Trophies.
See all of the different endings in Story Mode.
Complete the Arcade Mode in Multiplayer.
Complete the Arcade Mode on the hardest difficulty.
Complete the Arcade Mode without using a credit.
Defeat the Rat King while using Splinter.
Perform a 250-hits string.
Defeat Super Shredder without being hit.
Bring all characters to max Power Level in Story Mode.