Here is the full list of all 38 Ziggurat achievements.
You died on a danger room
Unlock all character classes
Kill all enemies at least once (including bosses)
Unlock all enemies in the bestiary
Die 10 times
Kill 5000 enemies
Find all lore scrolls
Kill 500 enemies affected with elemental states
Master a perk by getting it to level 5
Get to floor 3 using only the magic wand (Apprentice class only)
Break 2,000 things (Barrels, tombs...)
You met your match in the final showdown
Kill a Lost soul with the Skull of Xanatos
Survive the Ziggurat
Reach experience level 15
Equip a weapon of every kind
Kill 1000 enemies
You've been ambushed in a treasure room
Complete a challenge room
Reach experience level 10
You reached 3rd floor. Now the real lesson begins.
Reach experience level 5
Find your first amulet
Get your first level up
Find a secret room
Find a super secret cheat code
Unlock all magic weapons
Unlock all perks
Unlock all weapons,perks,lore & character classes
Die 25 times
Die 50 times
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
Died after killing the boss
Unlock all amulets
Win the game with Argo on Normal difficulty in less than 45 minutes