Geobreeders

Geobreeders is a manga with two six episode OVA s centered around the Kagura Security team, consisting of Mr. Taba, our sympathetic mid twenties hero, Yuka, the genki girl boss who frequently goes by Madame President, Yu, the under-enthused driver, Takano, the glasses wearing, rollerblading... one, Eiko, the very professional one, and Make, alias Crimson Shooting Star, a gunwoman in a white suit. Their agency tracks down and "deletes" phantom cats that can travel thought electric currents, phase through walls, and take the form of people. Have I mentioned they're cats? One such cat is actually befriended by Mr. Taba, although she is the only phantom cat seen that cannot speak. Her name is Maya.

This series is a bit of a mash up of many popular anime genres. There's a bit of unwanted harem, with it being Mr. Taba's job instead of his home, loads of action, science fiction fantasy, madcap comedy and fanservice. Lots of fanservice.

This series contains examples of:
 * Action Girl: a lot of them. The only male characters this troper could find are Mr. Taba and some of the various villains throughout the series.
 * Catgirl: lots of them. And Catboys too. Maya is the main qualifier.
 * Genki Girl: Yuka definitely qualifies for this.
 * Reluctant Monster: Maya
 * Unwanted Harem: Sort of. Taba is surrounded by women (not always fully clothed either, as the first episode shows us), but only a few of them actually come on to him directly.