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From the liner notes

Acclaimed for its use of real, non-computer-enhanced martial arts, High-Kick Girl! follows a brash young girl (Rina Takeda) with a unique gift for karate who must confront the gang of merciless criminals she's joined when she learns that they plan to attack her former sensei.

Kei (Rina Takeda) joins a karate dojo and quickly proves herself to be the most skilled fighter amongst all her male peers. However, her sensei Matsumura still refuses to give her the coveted black belt until she learns all the kata (forms). Too impatient to wait any longer, Kei hastily joins a fighting group called the Destroyers. The Destroyers don't care about anything but fighting and earning money, and this suits Kei just fine. But when she finds out their true purpose -- to destroy Matsumura -- she decides she must do whatever it takes to put a stop to them.