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