Here is the full list of all 15 Zack Zero achievements.
Finding all Nahirg treasures.
Finish the game.
Use the power of your rock punch to kill 50 enemies.
Kill 50 enemies using each of Zack’s powers.
Finishing the rock and lava cave level.
Reach Zack's suit level 20.
Finishing the cave levels.
Use rock spikes to kill 50 enemies.
Completing the Nahirg's base levels.
Killing a Nahirg general using only the blade launcher.
Use frozen air to freeze 50 enemies.
Kill 100 enemies using the flame thrower.
Finishing the outside of the Nahirg’s planet level.
Killing 100 enemies with the blade launcher.
Find 5 nahirg treasures.