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