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