 If you liked
Yakushiji Ryouko no Kaiki Jikenbo
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 ...then you might like
Nijuu Mensou no Musume
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Not only both anime deal with some form of supernatural cases, they also share the same overall "mood" and even artstyle. Ryouko's Case File is set in the modern times while Nijuu Mensou is set in the fifties. If you like the pulp detective genre, you'll definitely find Ryouko's Case File and Nijuu Mesou no Musume refreshing. Although I must say that Ryouko's cases are reminiscent of X-Files...