The team with the most finals appearances has competed in the championship game 32 times.
the pac-10
Texas the Pittsburgh Steelers, so Pennsylvania
Michigan Wolverines
Florida has the most title game appearances but Alabama has the most SEC titles followed by Tennessee, Georgia, LSU, and then Florida.... the SEC game wasn't incorporated until 1992 before that the SEC decided the championship winner the same way the big ten does now. the best overall team
Otto Graham of the Cleveland Browns started 6 consecutive NFL Championship Games between 1950-1955.
Dallas Cowboys
Illinois
Through the 2009 season, that is the New York Giants with 18 NFL championship game appearances (4 Super Bowls and 14 NFL championship games prior to the beginning of the Super Bowl).
Gary Player
The Cleveland Browns have played in a total of 10 AFC Championship Games. Their appearances were primarily during the 1980s, with their last appearance occurring in the 1989 season. The Browns have yet to win an AFC Championship, which has contributed to their status as one of the teams with the most conference championship game losses.
UCLA with 13!