Here is the full list of all 36 Conan Exiles achievements.
Defeat the Giant Spider
Defeat the King Beneath
Defeat the Kinscourge
Reach level 60
Reach the volcano
Reach level 50
Craft an Exceptional or Flawless item
Defeat the Giant Crocodile
Reach level 40
Reach the highlands
Fall for 3 seconds without dying
Defeat the Sewer Abomination
Reach level 30
Put an enemy in the Wheel of Pain
Reach level 20
Use a religious altar
Reach level 10
Sleep on a bed or bedroll
Complete the first chapter of the Journey
Create your first building
Get a Dedicated Weapon
Defeat the Undead Dragon
Defeat Hrungnir of the Frost
Reach the skies above the Exiled Lands
Kill something by standing on its head