Here is the full list of all 31 Habroxia (Asia) trophies - there are 16 bronze, 8 silver, 6 gold and 1 platinum.
Earn every other trophy
Finish Level 1 and destroy the Boss
Finish Level 2 and destroy the Boss
Finish Level 3 and destroy the Boss
Finish Level 4 and destroy the Boss
Destroy the Level 5 Boss
Finish Level 6 with at least one astronaut rescued
Finish Level 7 and destroy Boss
Finish Level 8 and destroy Boss
Finish Level 9 and destroy Boss
Destroy the Level 10 Boss
Finish Level 11 and destroy the Boss
Finish Level 12 with at least one astronaut rescued
Finish Level 13 and destroy the Boss
Finish Level 14 and destroy the Boss
Finish the level 15 Boss
Rescue all 6 of the astronauts in one run of levels 6 or 12
Purchase an upgrade for the ship
Finish a level without collecting any powerups
Purchase the final upgrade of any varierty
Destroy 500 enemy ships overall
Destroy 2500 enemy ships overall
Achieve a combo of 50
Miss 50 enemies in one level
Miss 500 enemies overall
Make it to Wave 13 in Invasion Mode
Survive for 180 seconds in Shield Maiden Mode
Rescue 8 astronauts in one run of Rescue Mode
Discover all 12 of the lost astronauts in levels 6 and 12
Find the Perils of Baking easter egg on Level 14
Finish a level without taking damage