The team I hate the most of any team in the NFL is the Jets... but I never considered them a rival. I never considered the Pats a rival... we were just their whipping boy for 20 years. I always considered the Dolphins our rival, because we seemed to always be on the same level and it seemed like north vs south... Working man vs beach bums... cold vs hot... Jills vs the world renowned Miami cheerleaders.
And the Chiefs these last bunch of years for obvious reasons.