Here is the full list of all 15 Time Recoil achievements.
Use Psy-Blast
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
Activate Time Freeze
Kill four enemies with a single Dash
Kill five enemies with a single Dash-Blast
Kill six enemies with a single Psy-Blast
Kill four enemies with a single Wormhole
Kill all enemies in a level with melee attacks
Kill three enemies with a single shotgun blast
See 50 enemies die to friendly fire
Chain six Dashes
Do four Dash-Blasts in a single level