As a member of the American Football League (AFL), the Bills won two league championships (1964 and 1965), and, while playing in the NFL (after the merger of the AFL and the NFL in 1970), they appeared in a record four consecutive Super Bowls (1991 94), losing on each occasion.
However, not every NFL team has won a Super Bowl. The Buffalo Bills and Minnesota Vikings are tied for the most Super Bowl appearances without an actual victory (4).