Here is the full list of all 11 Galak-Z: The Dimensional (EU) trophies - there are 7 bronze, 3 silver and 1 gold.
Complete Mech Tutorial
Slay White Tusk
Complete Intro Tutorial
Unlock All Trophies
Rescue Admiral Akamoto
Steal the Void Raiders' Star Map
Defeat the Raider King
Complete a mission without getting hit
Defeat 500 Space Bugs
Defeat 500 Imperials
Defeat 500 Void Raiders