Here is the full list of all 20 BIT.TRIP FATE achievements.
Register a high score on the leaderboards
Escaped Nether Mode
Use each buddy power up at least once
Get a PERFECT score in Determination
Get a PERFECT score in Patience
Get a PERFECT score in Desperation
Get a PERFECT score in Frustration
Get a PERFECT score in Anger
Get a PERFECT score in Fall
Beat the game on Normal difficulty
Watch the hidden cutscene
Beat Determination in Normal difficulty
Beat Patience in Normal difficulty
Beat Desperation in Normal difficulty
Beat Frustration in Normal difficulty
Beat Anger in Normal difficulty
Beat Fall in Normal difficulty
Beat the game, from start to finish, in one sitting
Defeat 5,000 enemies
Defeat the boss of Anger while in Giga Mode