Here is the full list of all 40 Innoquous 5 achievements.
Complete 175 levels in Bunny Hunt mode.
Fall through 1,000 breakable floors.
Complete 100 levels in Bunny Hunt mode.
Tag 1,000 guns.
Complete 50 levels in Bunny Hunt mode.
Complete 175 levels in Chaser mode.
Complete 100 levels in Chaser mode.
Complete 175 levels in Fiery Floors mode.
Complete 100 levels in Fiery Floors mode.
Complete 50 levels in Chaser mode.
Complete 50 levels in Fiery Floors mode.
Complete 175 levels in Time Attack mode with at least a bronze medal.
Complete 100 levels in Time Attack mode with at least a bronze medal.
Complete 175 levels in Conditional mode.
Complete 50 levels in Time Attack mode with at least a bronze medal.
Complete 100 levels in Conditional mode.
Have guns break 1,000 floors.
Complete 25 levels in Fiery Floors mode.
Complete 50 levels in Conditional mode.
Complete 175 levels in Standard mode.
Die 1,000 times.
Collect 100 notes.
Complete 100 levels in Standard mode.
Toggle switches 1,000 times.
Complete 25 levels in Bunny Hunt mode.
Collect 50 notes.
Complete 25 levels in Chaser mode.
Complete 25 levels in Conditional mode.
Complete 25 levels in Time Attack mode with at least a bronze medal.
Complete 5 levels in Bunny Hunt mode.
Complete 5 levels in Conditional mode.
Complete 5 levels in Chaser mode.
Complete 5 levels in Time Attack mode with at least a bronze medal.
Complete 5 levels in Fiery Floors mode.
Collect 14 notes.
Complete 50 levels in Standard mode.
Complete 25 levels in Standard mode.
Collect 5 notes.
Collect 3 notes.
Complete 5 levels in Standard mode.