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