For a true rivalry,
- it has to be a 2 way rivalry
- they have to play meaningful games against each other
- it cannot be one sided - i.e. one team wins all of the time
In the 70's we always considered Miami a rival since we lost to them 20x in a row. But to the Dolphins, the Bills were inconsequential.
The same goes for the Belichik/Brady Patriots we hated them because they ALWAYS beat us, but they could have cared less about the Bills.
Now that the tables have turned on the Dolphins and Pats - that WE beat them all of the time - I don't have any passion about those games
The same might apply to the Chiefs since they have beaten us every time in the playoffs
As one poster mentioned earlier, we really have not played any meaningful games against the Jets, and our only playoff game against them was in 1981