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