Who were the top mob guys to never be inducted into the American Mafia Cosa Nostra. Some of these infamous mobsters include Bugsy Seigel who opened up the Flamingo Casino and Hotel in Las Vegas. You also had Joe Watts. This infamous Gambino family associate was tight with bosses such as Carlo Gambino, Paul Castellano and John Gotti. He was respected and had the power of a Capo. Then you have Jimmy Burke. Burke was most known for being a Lucchese Associate for Paul Vario and spearheaded the Lufth