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