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