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