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