What is the NFL's Equivalent Rivalry?

No NFL rivalry can touch Lakers-Celtics.

There has never been a similar situation in the NFL where the same 2 teams kept meeting up in the Final game/series for a long period of time.

Basically, it requires a double-dynasty, from teams on opposite sides of the conference alignment.

I agree there's no cross-conference rivalry that matches Lakers - Celtics. For a while, there was Colts - Patriots and in hockey for a while there was Red Wings - Avalanche but neither of those has the longevity or history of Lakers - Celtics. Too much parity in football for two teams to be that dominant in their respective conferences for that long.