Yakushiji Ryouko no Kaiki Jikenbo(2004)

Yakushiji Ryouko no Kaiki Jikenbo

The story revolves around Ryouko Yakushiji, a brilliant 27-year-old elite investigator with the Tokyo Metropolitan Police. Together with her subordinate Junichirou Izumida, the two often investigate bizzare and supernatural cases. In addition with the paranormal, Ryouko also has a longstanding rivalry with Yukiko Muromachi, another talented police investigator.

(Source: Anime News Network)