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