Here is the full list of all 39 Iron Crypticle trophies - there are 15 bronze, 21 silver, 2 gold and 1 platinum.
Get All Trophies
Defeat A Boss Without Using A Weapon Pickup
Defeat The Phantom
Get Rainbow Power
Defeat Madame Tentacles
Defeat 3 Types Of Miniboss
Find The Golden Kitty
Defeat Hexapod
Collect 30 Lemons In A Single Game
View 20 Item Descriptions In The Ledger
Complete The First Floor On Hard Difficulty
Get 100 100x8s In A Single Game
Defeat A Boss In All Its Incarnations
Defeat A Boss Without Taking Any Damage
Finish A Regular Room Without Using A Weapon Pickup
Complete An Infestation Room
Complete 10 Waves In Endless Mode
Use 10 Different Weapon Types
Buy 10 Items In A Shop
Complete The Mud Pits
Collect All BONUS Letters
Collect Or Buy 5 Stat Increases In A Single Game
Collect 1000 Food Items (Increasing Score Type)
Collect 1000 Points Worth Of Coins
Use 5 Different Scroll Types
Clear 50 Rooms Of Monsters
Defeat Gnasher
Complete Castle Crushers 3 Times
Destroy A Fire Bug
Defeat Boulderface
Use The Atomic Fist 20 Times
Get The Golden Poop
Complete The Catacombs
Defeat 1000 Monsters
Pick Up 10 Hearts In A Single-Player Game Session
Defeat The Giant Peepwort
Complete The Graveyard
Find A Map
Finish A Non-Boss, Non-Empty Room Without Taking Damage