Review a comprehensive list of all the NCAA national championship teams from to the present with the nominating bodies that awarded the title. A complete history of all World Series winners, losers and MVP's. Including #1 teams from before the BCS and Playoff eras. The most national championships in the history of college football. 13 to become the all-time national champion should be major news entering the College Football Playoff National Championship, right?. NCAA season index. Year, National Champion, Heisman Trophy · Alabama (AP, BCS, FWAA, NFF, USA), Johnny Manziel · · Alabama (AP, BCS, · Clemson · Alabama Crimson Tide · . List of College Football Championship Game winners since.