If I remember correctly there was a bench-clearing brawl many years ago with the Chicago Cubs and some other team, and the Cubs left fielder Dave Kingman threw a punch at the opposing player, missed, and injured his shoulder or his back or something. That may not be one of baseball's best brawls but it was definitely a Cubs-type of brawl with a Cub's kind of outcome.
There used to be a poster of the former White Sox pitcher Bart Johnson in an on field fist fight. He was unloading a right hand on sombody and the title of the poster was "The Fighting White Sox".