 If you liked
Shinrei Tantei Yakumo
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 ...then you might like
Shuangsheng Lingtan
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These anime are about a guy, who solves some supernatural cases and are helpful for the local police. The appearance and thinking of both protagonists is similar as well. Both stories are divided into two parts. First part is about the cases and the second part is about the protagonist's unclear past, to which they want to find a key.