Here is the full list of all 38 Ziggurat trophies - there are 24 bronze, 9 silver, 4 gold and 1 platinum.
Unlock all weapons,perks,lore & character classes
Unlock all perks
Unlock all magic weapons
Kill 5000 enemies
Unlock all enemies in the bestiary
Unlock all character classes
Unlock all amulets
Died after killing the boss
Kill 500 enemies affected with elemental states
Find a secret room
Kill all enemies at least once (including bosses)
Survive the Ziggurat
Break 2,000 things (Barrels, tombs...)
Reach experience level 15
Find all lore scrolls
Kill a Lost soul with the Skull of Xanatos
Die 25 times
You met your match in the final showdown
Master a perk by getting it to level 5
Reach experience level 10
Kill 1000 enemies
You died on a danger room
Die 10 times
Find your first amulet
Complete a challenge room
Equip a weapon of every kind
You reached 3rd floor. Now the real lesson begins.
Reach experience level 5
You've been ambushed in a treasure room
Get your first level up
Unlock all other Trophies
Die 50 times
Get to floor 3 using only the magic wand (Apprentice class only)
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
Win the game with Argo on Normal difficulty in less than 45 minutes