Here is the full list of all 41 DYE achievements.
Die 1,000 times
Complete each Red level on HARD mode with ALL Pigments
Gather all Pigments on HARD mode on ALL levels
Collect all Red world Pigments
Collect ALL Pigments
Defeat Inferno
Defeat ALL bosses
Defeat Inferno after having 2 skulls active at once
Finish all Red challenge levels on HARD mode
Finish ALL challenge levels on HARD mode
Finish all Red challenge levels
Finish ALL challenge levels
Complete each Green level on HARD mode with ALL Pigments
Collect all Green world Pigments
Defeat the Slime King
Defeat King Slime without taking shrooms
Finish all Green challenge levels on HARD mode
Finish all Green challenge levels
Die 500 times
Complete each Blue level on HARD mode with ALL Pigments
Collect all Blue world Pigments
Defeat the Ice Golem
Defeat the Ice Golem in 100 seconds or less
Finish all Blue challenge levels on HARD mode
Finish all Blue challenge levels
Collect 200 Pigments
Float for 10 minutes
Kill 2 vultures before the 3rd awakens, finish the fight
Complete each Purple level on HARD mode with ALL Pigments
Collect all Purple world Pigments
Defeat the Vultures
Finish all Purple challenge levels on HARD mode
Finish all Purple challenge levels
Collect 100 Pigments
Die 100 times
Get all 5 pigments in under 30 seconds on any NORMAL level
Float for 1 minute
Get all 5 pigments in under 40 seconds on any HARD level
Gather all pigments on HARD mode for a single level
Die.
Drown in the first level