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