38 Task Force - "bad guys" team up with a policeman to fight against tax evaders
Avengers Social Club - a different kind of team work - 3 seemingly very different ladies team up to get a revenge on people who hurt them and did a lot of injustice. Comedy - friendship - revenge and sort of investigation. (seeing you have Chief Kim in your list, you might like this one as well)
Bad Genius - thai movie - a genius school girl decides to sell answers to SAT test. high school setting with thriller atmosphere
Liar Game - only two-people teamwork but has a good thriller atmosphere, not a detective teamwork but a lot of mindgames. i've seen only japanese version but i heard korean version is good as well
Suspicious partner - mainly a romcom law drama but main characters have a team of supporting characters which have good teamwork chemistry