Here is the full list of all 22 Celestial Project achievements.
Get all other achievements
Successfully build all five starships in a game
Obtained all equipments
Each special member is equipped with two equipments full of chips
There is no special member die in a game
A special member uses equipment 3+ times in one turn
Kill 5+ enemies with a single use of equipment
First turn victory
A single special member reaches 50+ HP
A single special member reaches 40+ shield
A single equipment reaches 40+ attack
First time killing aliens
Top tier equipment with top tier chips
Kill 3+ enemies at once with AlphaSword
Kill 3+ enemies at once with Laser
Successfully build a starship
Funds grow 100+/Day
All White Bear skill trees are unlocked
All Human Revolution skill trees are unlocked
All UNION skill trees are unlocked
Challenge all completed
Obtained all chips