Here is the full list of all 27 Brutal Wizardry achievements.
Complete World I
Complete World II
Buy all wands and staffs
Complete World III
Play one game in NG+ mode
Complete World IV
Complete World V
Complete level without shooting from wands
Defeat boss without shooting from wands
Upgrade all perks to level one
Upgrade all perks to level two
Upgrade all perks to level three
Earn 50,000 gold
Complete level without using mechanisms and hidden weapons
Reflect death beam by shield
Activate another death beam mechanism with death beam
Open all types of mana