Here is the full list of all 16 Xeodrifter: Special Edition trophies - there are 11 bronze and 5 silver.
Beat Final Boss without taking Damage
Visit 100% of Map
Finish the Game
Finish the Game in under 1 hour
Collect all Health Extenders
Collect all Gun Extenders
Collect Power-up
Break the Boss's Shield
Collect health during a Boss Battle
Find Hidden Health
Kill an Alien Bat