Here is the full list of all 12 TMNT: Turtles In Time Re-Shelled achievements worth 200 gamerscore.
Completed the game in Survival Mode. (Normal difficulty onwards)
Completed a level under 3 minutes.
Destroyed more than 5 enemies using a destructible object.
Avoided all traps in Level 3.
Completed the game with all 4 Turtles.
Defeated the Final Boss without dying.
Avoided Ice Ray traps in Level 8.
Completed the game in Story Mode. (Normal difficulty onwards)
Achieved more than 8,000 points.
Got zapped by any laser traps or attacks.
Got flattened by a trap.
Completed a level without having to use a single Power-up.