Two old DOS games:
1) One was some sort of turn-based RPG like mafia themed thing, where you create your character, and then can go to pubs, steal train shipments, kidnap children at kindergardens. It had this very primitive click based combat. The gangs would have white coats and hats. Found it, crime fighter. Thanks to this topic.
2) Another one was this sort of fighting game. A side scroller where you'd go to various places, talk to people and fight some of them. It wasnt the hit"n"smash game, but I really vaguely remember it. I remember it had some RPG elements, storyline and dialogue options.