Here is the full list of all 17 Space Roguelike Adventure (Asia) trophies - there are 2 bronze, 4 silver, 10 gold and 1 platinum.
Unlock all trophies
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