In the future, the moon is a habitable place with an atmosphere and gravity, hosting a famous tourist attraction. There are also rumors about log earred, rabbit like creatures on the moon who can use magic. Haruka Daichi heads off to the moon during a summer holiday alone because he wants to see the long earred creatures himself. However, he get himself dragged into an millenia-old conflict between two ancient moon races: the long ears race and the Jado race. The Jado race wants to conquer the universe and resurrect certain evil powers to seize control of the Earth. Now the long ears race and Daichi must seek three warriors who can use magic in order to release the Mado King and the long ears race's kingdom, Rabiluna, from the Jado's control. (Source: AniDB, edited)

Go Nagai crossover movie.

A meteor strikes the Earth and is found to emanate a powerful new energy called Beamler, which is used to power a battle robot, GoShogun, and a teleporting fortress, Good Thunder. The Docougar Crime Syndicate, lead by crime lord Neo Neros, try to steal the secret of the energy from the inventor of GoShogun, but he kills himself rather than let them acquire it. His son is targeted by Neo Neros next, but he is taken in by the crew aboard Good Thunder, who travel the world fighting NeoNeros's forces with GoShogun. (Source: Wikipedia)

Despite the title, this is not a feature but the three-part OAV Battle Skipper (1995), which Takashi Watanabe directed before going on to Slayers. When the members of the Etiquette Club at St. Ignacio's School for Girls go down the tubes--literally--they acquire the skimpy outfits they wear to pilot the unfortunately named BSs or Battle Skippers, state-of-the-art military mecha. As Extars, the Etiquette Club members fight to eliminate evil from the world, which means the bizarre schemes of Sayaka, the nasty, super-rich president of the rival Debutante Club, and her flunky, Todo. The series was created to promote a line of robot toys from Tomy, and viewers who are willing to accept high school girls' quarrels escalating into battles involving satellite weaponry may enjoy these silly adventures. (Source: AniDB)