Here is the full list of all 34 RESOGUN (PS3/Vita) trophies - there are 19 bronze, 9 silver, 5 gold and 1 platinum.
Get all trophies
Complete a level on Master difficulty
Get a multiplier of 15x
Complete all levels on Veteran difficulty
Save all humans
Complete the game with Phobos
Save all humans on Mefitis
Complete the game with Ferox
Reach the end-boss of any level using boost only
Complete Arcade mode without losing all lives, on Experienced difficulty
Complete all levels on Experienced difficulty
Kill 50 enemies with one boost
Get a multiplier of 10x
Save all humans on Decima
Save all humans on Acis
Complete all levels on Rookie difficulty
Complete the game with Nemesis
Complete all levels
Complete Mefitis
Fully upgrade the ship
Fully upgrade the main gun
Save all humans on Febris
Complete Febris
Fully upgrade the overdrive
Complete Decima
Kill 100 enemies during Overdrive
Complete Ceres
Save all humans on Ceres
Save two humans within a span of one second
Throw a human to the escape pod
Get a multiplier of 5x
Complete Acis
Save a human from an Abductor's beam
Save a human