Here is the full list of all 30 Teenage Mutant Ninja Turtles: Out of the Shadows achievements worth 400 gamerscore.
Perform a 4 turtle TPKO.
Tapout 25 enemies with Raph.
Max out Raph's special weapon rank.
Max out Don's special weapon rank.
Max out Mikey's special weapon rank.
Hit 25 enemies with Don's special pose attack.
KO 100 enemies with Raph.
Perform a Shell Shock 100 times.
Perform a double counter 25 times.
KO 100 enemies with Mikey.
Perform a special counter 25 times
Special taunt 100 times with Mikey.
Shoulder run off 100 enemies with Leo.
Perform a 99-hit combo.
Perform a stealth KO 25 times.
Max out Leo's special weapon rank.
Complete Chapter 4.
KO 25 enemies with a Special Attack.
Perform a TPKO on 100 enemies.
Complete Chapter 3.
KO 100 enemies with Don.
Complete Chapter 2.
Unlock Classic Mode.
KO 100 enemies with Leo.
Complete Chapter 1.
Perform a team attack 50 times.
Perform 12 attack variations in a single combo.
Complete all Challenge levels.
Complete round 20 in Survival mode.
Complete all Arcade levels.