Here is the full list of all 20 Rez Infinite achievements.
Clear Area X by defeating the standard final boss.
Defeat the standard final boss of Area X with a shot down rate of 95% or higher.
Clear Area X with your avatar at its highest possible evolution level.
Clear Area X without taking any damage.
Destroy over 300 Bit enemies in Area X.
Clear area 5 in play mode.
Achieve a shot down rate of 95% in areas 1-5.
Clear area 4 in play mode or travelling mode.
Clear area 3 in play mode or travelling mode.
Clear area 2 in play mode or travelling mode.
Clear area 1 in play mode or travelling mode.
Achieve the lost area high score.
Achieve a 100% shot down rate and item collection rate in areas 1-5 or play for over 10 hours.
Clear direct assault (trance).
Achieve the high score in boss rush mode.
Clear score attack mode 30 times.
Achieve the high score in five areas of score attack mode.
Clear Area X by triggering and defeating the alternate final boss.
Defeat the alternate final boss of Area X with a shot down rate of 95% or higher.
Unlock all Rez Infinite achievements.