Varanoir Kingdom of Chaos The Universe(2002)

Gakuentoshi Varanoir: KINGDOM OF CHAOS THE UNIVERSE

Based on a Playstation 2 game by the same title, Varanoir's story takes place in a Magic University called.. well Varanoir. Students in this university are trained here for war preparation against the devil master.

The main characters of the story is Myu, a granddaughter of Jii. Jii was a great swordsman in the past and he taught various sword fighting skills to Myu, although he's working as a chimney cleaner right now in Varanoir. Myu then decides to go to Varanoir for training to become a fighter. In Varanoir, Myu meets Ryuto, a talented student. However, Ryuto always sees Myu as her rival.

[From Animenfo.com]