Here is the full list of all 16 Space Roguelike Adventure achievements.
Beat the first boss
Beat the second boss
Beat the third boss
Beat the fourth boss
Beat the fifth boss
Buy an ammunition
Buy a weapon
Buy an implant
Buy a drink
Buy a Bracer
Jump 10 times
Jump 72 times
Jump 300 times
Break 5 items
Break 10 items
Get a level up