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