Apulo (a cat-like space alien with the ability to lock a human's emotions) and Latell work for the Division of Space Piracy (or DSP for short). The two of them are extremely destructive in their solving of DSP cases. They are attempting to stop Youmei the space pirate from exploiting Computer Aided Thinking for his own nefarious plans.

Jack has moved to Hokkaido to get treatment for an illness, but he's lonely and unhappy. One night a man on a horse rides through his window to help him. For a reason he doesn't understand, Jack instantly knows the man's name and feels they've met somewhere before. The man, Cu Chulainn, tells Jack to open the moonlight shadow window, which leads him to Nymphidia, the world of Midsummer Night's Dream, whose inhabitants are waiting for a new Fairy King.

Overconfident 23-year-old Ryouhei somehow lucks into a job at the lucrative skin mag Potato Boy, with his only qualification being an abnormally high sex drive. Immediately smitten with the publication's prestigious editor Yuki (and just about every other female colleague), Ryouhei shows a libidinous instinct that could take Potato Boy to the next level — if he can ever take the job seriously.

After the original run of the television series, an OAV music video titled Genesis Climber Mospeada: Love Live Alive was specially (mostly due to demands of hardcore Mospeada fans) released in Japan in September 1985. The music video consisted of both old and new footage. The story of Love Live Alive chronicled the events after the ending of the original Mospeada, featuring Yellow Belmont as the main character. The music video focused on Yellow's concert and also on his flashback of past events.

The Centaurs are a racing team of 93 bikers from the port city of Yokohama who are named after the legendary Greek horse/men. Arthur and Ken fall out over their love for the same lady deciding to settle their competition with a race.

Lupika, an alien princess, is in love with a tofu seller. To make him love her too (at least, announce his love. He obviously fears the social taboo of a tofu vendor marrying a princess), she needs to get a love potion, which is in a certain temple. Legend has it that the only person that can obtain this love potion is the most lecherous man in the universe. That man turns out to be Ataru Moroboshi. Lupika kidnaps Ataru to make him get the potion, and Lum and her friends go out to search for Ataru.