If you're looking for manga similar to Officer Newlywed (Light Novel), you might like these titles.
Newly-instated detective Ishida Tomohiro returns home one day to find a naked man in his house. He asks Tomohiro to identify himself, only to vanish into thin air before the startled young man can come up with a response. Soon afterwards, Tomohiro becomes tangled up in an odd situation involving a killer sword that can possess people. Then the same guy shows up again: this time fully clothed and actually physically present. "Kyousuke" is a member of the supernatural task force affiliated with the police, and Tomohiro ends up being transferred there. Now he'll have to handle all sorts of bizarre and out-of-this-world situations alongside his extremely quirky new colleagues!
Luna was one day saved by a man who trained him to become a killing machine, since then, our hero does mission for that guy organization as an assassin. One day he is given a mission which implies 'latching' onto a private detective by the name of Nishina Tougo with the objective of killing a scientist who created some dangerous drug...
Opposite sides of the law flirt with danger—and each other—in a tangled web of political intrigue that is fraught with deception and secrets.
"Rashomon" is the last gate for humans to pass in life. Detectives of Toto Police Station have an urge to fight against something beyond crimes.