Here is the full list of all 45 Conan Chop Chop achievements.
Forge an Armor at the Blacksmith in your Town
Forge a Weapon at the Blacksmith in your Town
Defeat the Sand Worm
Use Oasis Key
Defeat a miniboss in Nemedia
Obtain Pallantides' Roar of the Dragon
Obtain Belit's Rain of Arrows
Obtain Conan's Barbarian Rage
Defeat a miniboss in Koth
Find and return the Doll
Defeat Thak
Wear a matching Shield and Armor set
Open a Gold Chest in the world
Complete the tutorial
Obtain Valeria's Tornado Slash
Obtain 1 trait for Conan
Obtain 1 trait for Valeria
Obtain 1 trait for Belit
Obtain 1 trait for Pallantides
Obtain 3 traits for Conan
Obtain 3 traits for Valeria
Obtain 3 traits for Belit
Obtain 3 traits for Pallantides
Forge a Shield at the Blacksmith in your Town
Forge a Charm at the Blacksmith in your Town
Defeat a miniboss in Darkwood
Defeat a miniboss in Vanaheim
Defeat a miniboss in Hyperborea
Defeat the Frost Giant
Defeat Skelos
Have 3 pets at once
Locate the Staff of Epemitreus
Return the Staff of Epemitreus
Equip 4 Charms
Defeat Xaltotun as Conan
Defeat Xaltotun as Valeria
Defeat Xaltotun as Belit
Defeat Xaltotun as Pallantides
Restored the Shield Shop in your Town
Restored the Weapon Shop in your Town
Restored the Armor Shop in your Town
Restored the Charm Shop in your Town
Restored your Town
Defeat Thoth-Amon
Earn all achievements in 'Conan Chop Chop'