Full list of all 37 Conan Exiles trophies - 21 bronze, 8 silver, 7 gold and 1 platinum.
The base game contains 26 trophies, and there is 1 DLC pack containing 11 trophies.
For completing all trophies
Defeat Hrungnir of the Frost
Defeat the Kinscourge
Defeat the King Beneath
Defeat the Sewer Abomination
Defeat the Giant Crocodile
Kill something by standing on its head
Place a thrall crafter in a crafting station
Reach the skies above the Exiled Lands
Defeat the Undead Dragon
Reach the volcano
Reach level 60
Defeat the Giant Spider
Reach level 50
Reach level 40
Reach level 30
Fall for 3 seconds without dying
Put an enemy in the Wheel of Pain
Reach level 20
Use a religious altar
Sleep on a bed or bedroll
Complete the first chapter of the Journey
Create your first building
Reach level 10
Reach the highlands
Get a Dedicated Weapon
Explore a Vault
Visit a Leyshrine
Enter the Maelstrom
Reach the Tower
Memorize a Sigil
Defeat a Surge Summons
Explore the Isle of Siptah
Craft an Item Using Eldarium
Memorize Seven Sigils at Once
Obtain ?????
Draw Forth the Most Powerful Surge