Here is the full list of all 38 Ziggurat trophies - there are 24 bronze, 9 silver, 4 gold and 1 platinum.
Unlock all character classes
Unlock all weapons,perks,lore & character classes
Unlock all perks
Unlock all magic weapons
Die 50 times
Die 25 times
Unlock all amulets
Reach floor 2 without getting damaged
Kill 5000 enemies
Find all lore scrolls
Kill all enemies at least once (including bosses)
Unlock all enemies in the bestiary
Kill 500 enemies affected with elemental states
Break 2,000 things (Barrels, tombs...)
Get to floor 3 using only the magic wand (Apprentice class only)
Die 10 times
Kill a Lost soul with the Skull of Xanatos
You died on a danger room
Survive the Ziggurat
Master a perk by getting it to level 5
You met your match in the final showdown
Kill 1000 enemies
Find a secret room
Reach experience level 15
Find your first amulet
Equip a weapon of every kind
Reach experience level 10
Complete a challenge room
You reached 3rd floor. Now the real lesson begins.
You've been ambushed in a treasure room
Reach experience level 5
Died after killing the boss
Get your first level up
Unlock all other Trophies
Win the game without using any level up
Win a game with every character (any difficulty)
Win a game on hard difficulty
Win the game with Argo on Normal difficulty in less than 45 minutes