Here is the full list of all 53 Teenage Mutant Ninja Turtles: Portal Power achievements.
Complete New York City
Defeat 300 Enemies
Complete Ice World With 3 Stars
Complete New York City with 3 Kraang Crystals in each level.
Complete Magma World with 3 Kraang Crystals in each level.
Complete Frost World
Complete 5 levels without taking any damage
Complete Magma World
Defeat 1000 enemies.
Defeat 10000 enemies.
Defeat 100 enemies in a challenge level
Defeat 300 enemies in a challenge level
Defeat Stockman-Fly without taking any damage
Defeat Bebop without taking any damage
Defeat a level at exactly 3:00
Defeat a level in less than 2 minutes
Defeat Rocksteady without taking any damage
Destroy 100 destructible objects
Equip 2 Knights & 2 Wizards
Change a costume
Use a special from each New York City costume
Use a costume special from each world
Equip each costume
Get a 200 hit combo
Get a 50 hit combo
Get an enemy to defeat another enemy, 10 times
Defeat an enemy with the Pizza Delivery Guy
Randomly get 4 of the same costume
Unlock each costume
Use 4 Knight specials at the same time
Use 4 Rock Star specials at the same time
Use a pizza 5 times
Use each type of pizza in a single level
Use Time Traveler & Wizard special at the same time
Use Turtle Power 5 times
Use an Extra Large pizza while using the Cave Bear Warrior special
Equip 2 Space Suit & 2 Pirate costumes
Equip all 4 Super Hero costumes
Equip all 4 Shadow Ninja costumes
Unlock each challenge level
Defeat Tiger Claw without taking any damage
Defeat Shredder without taking any damage
Complete Corrupted NYC with 3 Kraang Crystals in each level.
Complete Shadow World with 3 Kraang Crystals in each level.
Complete Corrupted NYC
Complete Shadow World
Equip all Corrupted NYC costume
Equip all Shadow World costume
Complete the game in Nightmare Mode.
Complete the game in Nightmare Mode with 3 stars in each level.
Use a special from each Magma World costume
Use a special from each Frost World costume
Use each type of pizza