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