The oldest rivalry in sports is between Liverpool and everton.
Oldest Sports club in the US is the Oneida Football Club in Boston Mass
It is a known fact that the Bear's/ Packer's rivalry is the fiercest rivalry in the NFL, but I'm not sure about all of sports.
yes
America's Cup
The rivalry between Wisconsin and Minnesota is the oldest rivalry in FBS (formerly Division I-A) football dating back to 1890. The two schools have played each other 118 times. The oldest non-FBS college football rivalry is Harvard-Yale dating back to 1875
calcutta cup
spiderman vs fir
Harvard - Yale played their first college football game on Nov. 13, 1875 - 138 years ago
OU Vs. Texas Red River Rivalry 4
The Browns-steelers rivalry is a National Football League rivalry between the Cleveland Browns and the Pittsburgh Steelers. With 121 meetings and counting , it is the oldest rivalry and the most storied in the American Football Confrence.
Harvard and Yale hold the oldest football rivalry. "The Game" was first played in 1875.