Here is the full list of all 31 Barbearian achievements.
Complete the game
Defeat Master Arbitrator
Compeleted all special quests
Defeat Moo Mobile
Rescue all trapped minions
Completed all quests at Strange Machinations
Take down 50k enemies
Defeat Ancient Mechanism
Collect a total of 250k loot
Completed all quests at Valley of Bones
Fire a weapon pickup 1k times
First memory unlocked
Reach 500 chain
Reach maximum chain (999)
Defeat The Absorber
Completed all quests at Corrupted Forest
First Master Class completed
Walk 10k
Defeat Megaskull
Completed all quests at Skeletal Park
Collect a total of 25k loot
Swing your axe 1k times
Free your first minion
Complete the first quest
Unlock all weapon pickups
All memories unlocked
Wasted perfectly good loot on some boxes
Complete all Master Classes
Defeat Meta Engine
Defeat the rhyme blaster, the only true lyrical master
Complete the game with 100% completion rating