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 Spider
Defeat the Kinscourge
Defeat the Undead Dragon
Reach level 60
Defeat the Giant Crocodile
Fall for 3 seconds without dying
Defeat Hrungnir of the Frost
Reach the volcano
Defeat the King Beneath
Reach level 50
Defeat the Sewer Abomination
Craft an Exceptional or Flawless item
Reach the highlands
Reach level 40
Reach level 30
Put an enemy in the Wheel of Pain
Create your first building
Use a religious altar
Reach level 20
Reach level 10
Complete the first chapter of the Journey
Sleep on a bed or bedroll
Get a Dedicated Weapon