The movie Heavyweights (1995.)
It's about a fat kids camp.
"Perkis sent me home without a refund. However, my dad's a lawyer. He threatened to sue, and Perkis caved like the Buffalo Bills in the Super Bowl."
I've also seen countless TV shows and movies, where there's a perennial second best, runner up, etc, as "The Buffalo Bills of..." whatever competition. Like, pparently the every time Lance Armstrong won the TDF, the same guy came in second and I heard him refered to as "The Buffalo Bills of cycling."