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