1871 college football season
The 1871 college football season is the only year since the first season in 1869 in which no games were played.
Princeton did play several games against a Princeton Theological Seminary team in 1871, although the Tigers considered these "practice" games, and the general convention is not to count these as official games.
Only two college football games had been played in each of the previous seasons by only three teams.
Because no games were played, 1871 is the only year since college football play began in which no college football national champion has been named, retroactively or otherwise.