Barbarian II - The Dungeon of Drax
Platform: MSX
Region: Europe
Media: Disk
Controller: Keyboard, Joystick
Genre: Beat 'em Up > Hack & Slash 
Gametype: Undefined
Release Year: 1988
Developer: Palace Software
Publisher: Erbe Software
Players: 1
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In the sequel to Barbarian / Death Sword, the Wizard Drax is back after previous your defeat of him. But this time, you're not alone. The princess you saved back then has taken up a sword and joined your cause! Now, it's more than a death match. You have to explore into the many tunnels in his dungeon, defeat the dangerous monsters that come between you and cold steel to Drax's throat.

The game has similar game play to the original, but with a different challenge. Various monsters will come and attack you, but each have different approaches in order to defeat them. For example, You can't overhead chop a monster that's shorter than your axe. There are 4 levels of dungeons to explore before you reach Drax at the final stage.

http://www.mobygames.com/game/msx/axe-of-rage