Here is the full list of all 16 Time Recoil trophies - there are 2 bronze, 4 silver, 9 gold and 1 platinum.
Kill four enemies with a single Dash
Get all the trophies!
Get a two star time from all levels in Time Attack
Get a three star time from all levels in Time Attack
Complete all levels on Hardcore difficulty
Complete all levels on Murderous difficulty
Use Psy-Blast
Activate Time Freeze
Kill five enemies with a single Dash-Blast
Kill six enemies with a single Psy-Blast
Kill four enemies with a single Wormhole
Kill everyone in a level with melee
Kill three enemies with a single shotgun blast
50 enemies dead by friendly fire
Chain six Dashes
Do four Dash-Blasts in a single level