Here is the full list of all 12 Zeroptian Invasion achievements.
Die for the first time
Get all the power ups at the same time
Destroy the boss of the first area
Destroy the boss of the second area
Destroy the boss of the third zone
Destroy the boss of the fourth zone
Destroy the boss of the fifth zone.
Destroy the boss of the sixth zone.
Destroy the threat
Complete the game
Get an extra life
Get 100,000 score