In both dramas the protagonists returns to the countryside/hometown. Each story is wrapped in a strong sense of community and the protagonists find a way to a "better self" in the warm environment the community brings.

Under the Skin and Medical Examiner Dr. Qin are crime dramas with a ML who is a specialist in their field. The main characters of both share some nice bromance and friendship throughout their case solving.

Both are centered around crime and have a comedic edge. The protagonists of both go off the beaten path to catch criminals. In terms of tone, Team Bulldog is lighter and less serious than Lawless Lawyer.

Both Bad and Crazy and The Journey Across the Night are mysteries with a comedic twist.
They share similar undertones as well, like bromance, serial killers, and mental illness.