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
Destroy 2500 enemy ships 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
Finish the level 15 Boss
Finish Level 14 and destroy the Boss
Find the Perils of Baking easter egg on Level 14
Finish Level 13 and destroy the Boss
Finish Level 12 with at least one astronaut rescued
Discover all 12 of the lost astronauts in levels 6 and 12
Finish Level 11 and destroy the Boss
Miss 500 enemies overall
Purchase the final upgrade of any varierty
Destroy the Level 10 Boss
Finish Level 9 and destroy Boss
Finish Level 8 and destroy Boss
Finish Level 7 and destroy Boss
Rescue all 6 of the astronauts in one run of levels 6 or 12
Finish Level 6 with at least one astronaut rescued
Destroy 500 enemy ships overall
Destroy the Level 5 Boss
Achieve a combo of 50
Finish Level 4 and destroy the Boss
Finish Level 3 and destroy the Boss
Finish Level 2 and destroy the Boss
Finish a level without taking damage
Finish a level without collecting any powerups
Purchase an upgrade for the ship
Miss 50 enemies in one level
Finish Level 1 and destroy the Boss