Here is the full list of all 20 Teenage Mutant Ninja Turtles Arcade: Wrath of the Mutants achievements.
Enter your Score in the leaderboard for the first time
Complete Shredder’s Lair on any difficulty
Finish the Game on Easy difficulty
Defeat a Total of 1000 enemies
Complete TCRI level on any difficulty
Complete Dimension X level on any difficulty
Complete Sewer level on any difficulty
Complete Amusement Park level on any difficulty
Complete a Level in 4 player Co-op
Complete New York level on any difficulty
Finish the Game on Normal difficulty
Finish the Game on Hard difficulty
Eat a total of 100 Pizzas
Use a Total of 100 Turtle Power attacks
Use a Total of 75 Smoke Bombs
Use a Total of 50 Spin Attack powerups
Defeat a Total of 300 enemies using the Shuriken powerup
Use a Total of 30 Team-up powerups
Use a Total of 50 Ice Cream Kitty pack powerups
Beat the High Score on any level