Detective Conan, Hello Harinezumi: Satsui no Ryoubun Recommendations
The Domain of Murder OVA is very much like the Detective Conan TV series. Both are about detectives, who solve cases, and the mystery plays an important role. Domain of Murder is a one shot OVA of a manga series, while Detective Conan is the extremely popular anime of the even more popular manga series, that's nothing short of a phenomena in Japan (not so much in the U.S.). Both Domain of Murder and Detective Conan deal with realstic mysteries, that usually involve murders. Both animes have great characters. There are some differences however, like how Domain of Murder is pure seinen, while Detective Conan
Both are police/detective dramas with realistic crimes. If you liked one, you'll probably like the other. Similar music as well.