This is not so much a rivalry between two teams as it is between two men on the same team. Joe Montana was the three time super bowl MVP and Steve Young was the former first round pick who was considered by many to be a bust. This rivalry may have never developed had it not been for Montana getting injured and Young coming in and wowing the coaches. What happened next was a quarterback controversy that was only fueled by the two men themselves. Neither Montana nor Young tried to hide the fact that they thought they should be the starter and from an outsiders view they didn’t seem to like each other much either. Eventually Young won the starting job and Montana was traded to another team and the rivalry continued.