Here is the full list of all 13 Euclidean achievements.
Avoid every creature type by phasing
Die 50 times
Get killed by a gargantuan creature in permadeath mode
Win the game with permadeath enabled
Die 25 times in the same stage
Win the game
Get killed by every creature type in the game
Die on a stage floor
Die 10 times
Dodge a roving creature by Phasing
Die 5 times
Get killed by a roving creature while still recharging Phase
Die