Taba and the Girls of Kagura Total Security Inc. specialize in jobs where their enemy are "Phantom Cats". They have a few run ins with the various Government agencies, as well as a gang of Phantom Cats; blowing up a lot of stuff along the way. When one of their own is kidnapped, they have to get her back.

Ryoutaro Shiba and his family have just moved into a new housing neighborhood. He soon discovers he is lucky enough to be living next to a beautiful and bewitching girl named Nozomi Egawa. Nozomi is athletic, an actress, and surprisingly more than anything else, she wants Ryoutaro to become a boxer so that he can fulfil her dream. Ryoutaro isn't exactly sure what Nozomi's dream is, but he definitely does not want to become a boxer. Unfortunately for Ryoutaro, he finds himself being dragged to the high school boxing club because Nozomi has written a resume for him claiming that he is a boxing genius! It actually seems that Ryoutaro has a special gift for boxing that he has never known about before. Ryoutaro soon finds himself in the winners' circle. But for how long can he last, and can he really live up to Nozomi's expectations?

In the mid-21st century, mankind has begun the exploration of space, and one company, Planet Catcher Corporation, has pioneered capturing asteroids and comets to mine the resources within them for use on Earth. On one such asteroid, Tortatis, lives 12-year-old Nanbu Ushiwaka - the only child ever to be born in space and survive. But survival itself is no longer guaranteed - a military satellite triggers a disaster during a operation to capture Halley`s Comet, and Ushiwaka and his fellow colonists must find a way to survive when both their country and their company abandon them. Can they escape before the nuclear reactor on the asteroid melts down? Or are they doomed to die as they lived, among the stars?

A side story taking place somewhere before the second half of the series, prior to Daba acquiring the L-Gaim Mk-II. Daba's comrade Leccee is captured by Poseidal's forces, and Daba and his rebels attempt to save her.