Here is the full list of all 38 Ziggurat achievements.
Find a super secret cheat code
Die 50 times
Die 25 times
You died on a danger room
Died after killing the boss
Reach floor 2 without getting damaged
Win a game on hard difficulty
Win a game with every character (any difficulty)
Unlock all perks
Unlock all weapons,perks,lore & character classes
Unlock all magic weapons
Get to floor 3 using only the magic wand (Apprentice class only)
Win the game without using any level up
Unlock all character classes
Unlock all amulets
Die 10 times
Kill 5000 enemies
Unlock all enemies in the bestiary
Win the game with Argo on Normal difficulty in less than 45 minutes
Find all lore scrolls
Kill all enemies at least once (including bosses)
Break 2,000 things (Barrels, tombs...)
You met your match in the final showdown
Kill 500 enemies affected with elemental states
Kill a Lost soul with the Skull of Xanatos
Find a secret room
Kill 1000 enemies
You've been ambushed in a treasure room
Survive the Ziggurat
Reach experience level 15
Master a perk by getting it to level 5
Reach experience level 10
Equip a weapon of every kind
You reached 3rd floor. Now the real lesson begins.
Reach experience level 5
Find your first amulet
Complete a challenge room
Get your first level up