It really depends on when you became a fan.
I started as a Bills fan after my family moved to Buffalo in 1967 when I was 6 years old. The Bills won 4 games in '67, and 1 game in '68. In '69 they won 4 games, in '70 they won 3 games, in '71 they again won only 1 game and in '72 they won 4 games.
So in my first 6 years as a Bills fan, they won a grand total of 17 games.
Awesome stuff. Looks pretty much like modern football too.