Get NCAA FBS College Football Championship History at jocuricuatv.info. Alabama claims a “ college football -best” 15 national championships. Each time the Crimson Tide wins another national championship, fans. Ohio State won its eighth national championship last season, but the Buckeyes are still far behind the leader of college football crowns. List of College Football Championship Game winners since. NCAA Football Seasons Year, National Champion, Heisman Trophy . College Football Scores · Most Recent Games and Any Score Since. Here's every college football champion from to the present day.