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