Cincinnati Bengals (1997 - 2003)

The Bengals have been around for 44 years, but have only twelve winning seasons, including just two in the past 20 years. Unfortunately, neither of those came when they were rocking this snarling tiger logo (the team actually posted a 2-14 season, a 3-13 season, and a pair of 4-12 seasons in that span). Still a dope logo though.