Voice

Both deal with police officers who talk with people who are involved in a crime/or about to commit a crime.
Both have a main pair that tries to solve one big case that connects them via losses

Though Voice doesn't have much (or any at all) romantic based plot, Born Again gave me similar vibes that Voice gave me, mainly due to the detective running after the serial killer/main murderer plot. In terms of "special" abilities, Voice has the main character being able to hear tiny sounds whereas Born Again has the three main characters reincarnated (without their memories at first).