I really like the Found Family trope in dramas where a group of people from different background end up making their own family together...Examples are The Player, Mad Dog and Thirty but Seventeen.

Anyone have any other drama  suggestions that have this trope in it?

If you don't mind Japanese dramas, I highly recommend:

They're all written by the same person, so if you enjoy one of them, there's a chance that you're going to like all of them.