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 Arcade mode without losing all lives, on Experienced difficulty
Get a multiplier of 15x
Complete a level on Master difficulty
Kill 50 enemies with one boost
Complete all levels on Veteran difficulty
Kill 100 enemies during Overdrive
Get a multiplier of 10x
Save all humans
Save all humans on Decima
Complete the game with Phobos
Complete the game with Ferox
Save all humans on Ceres
Reach the end-boss of any level using boost only
Save all humans on Mefitis
Complete the game with Nemesis
Save all humans on Febris
Save all humans on Acis
Throw a human to the escape pod
Complete all levels on Experienced difficulty
Complete all levels
Complete all levels on Rookie difficulty
Complete Mefitis
Fully upgrade the ship
Fully upgrade the main gun
Complete Febris
Save two humans within a span of one second
Fully upgrade the overdrive
Complete Decima
Get a multiplier of 5x
Complete Ceres
Save a human from an Abductor's beam
Complete Acis
Save a human