Here is the full list of all 23 TMNT achievements worth 1,000 gamerscore. It takes around 6-8 hours to unlock all of the achievements on Xbox 360.
Complete Level 2
Used Dons special move
Complete Level 3
Used Mikes special move
Complete Level 4
Used Leos special move
Complete Level 5
Complete Level 6
Do a co-op move combination attack
Complete Level 1
Complete a level without taking damage
Complete Level 7
Complete Level 8
Complete Level 9
Complete Level 10
Complete Level 11
Complete Level 12
Complete Level 13
Complete Level 14
Complete Level 15
Complete Level 16
Get your first coin
Used Raphs special move