Bryce Paup played the first five seasons of his career with the Green Bay Packers, and while he was considered a good player, it was considered a catastrophic loss when he signed with the Buffalo Bills as a Free Agent in 1995.  As it turned out, Paup would have one of the best years of his life as a Bill, and the run of his career.

In 2002, Mario Williams was the first overall pick in the draft, and he played his first four seasons in football with the team that drafted him, the Houston Texans.  Williams played well there, but he arguably equalled his individual success as a Buffalo Bill.

LeSean McCoy played his first six seasons in the NFL with the Philadelphia Eagles, where he won the Rushing Title in 2013.  McCoy and the Eagles management and coaching were not on the same page (as evident by comments by McCoy), and he was traded to the Buffalo Bills to be their lead Running Back.

Arriving to Buffalo as a Second Round Pick from Auburn in 1980, Joe Cribbs had a great rookie season, rushing for 1,185 Yards and going to the Pro Bowl.  Cribbs also led the league in Fumbles (16), but nevertheless it was a great start to a professional football career.