Here is the full list of all 12 TMNT: Turtles In Time Re-Shelled trophies - there are 7 bronze, 4 silver and 1 gold.
Get flattened by any trap.
Get zapped by any laser traps or attacks.
Complete a level without having to use a single Power-up.
Destroy more than 5 enemies using a destructible object.
Complete a level in under 3 minutes.
Achieve more than 8,000 points.
Avoid all traps in Level 3.
Avoid Ice Ray traps in Level 8.
Defeat the Final Boss without dying.
Complete the game in Story Mode. (Normal difficulty onwards).
Complete a Survival Mode game. (Normal difficulty onwards)
Complete the game with all 4 Turtles.