The Girl with Deep Black Eyes
Thanks to her persistence and the master’s generosity, Ryoko begins training at Hiten Shrine. She also learns that Miyuki is turning 14 years old so she plans out a birthday celebration. Shizuma continues to look for Nagumo for a rematch, but somehow he and Ryoko both end up transported to the alternate world where they have to fight a demon beast.
Aired 20/08/2001EP 4 - The Girl with Deep Black Eyes

Samurai Girl Real Bout High School
At Daimon High School, kids settle their disputes by dueling with each other in the school's official K-Fight battle arena. Ryoko Mitsurugi, samurai girl and undefeated K-Fight champion, is called upon by a mysterious Priestess to protect the Earth from an invasion coming from the alternate universe of Solvania. She must face battles that will test her skills, her friendships, and her heart in order to find her true strength as a samurai warrior.
(Source: Anime News Network)