NCAA doesn't list or recognize big school football championships. But the #1 team in the polls was Nebraska.
If you're asking about a team, it's the Celtics at 17 championships, with the Lakers close with 16 championships. However, if you're asking about a player, It's Bill Russel with 11. He's a big reason the Celtics have won that many championship, and The Celtics are a big reason he's won so many championships.
Here is part of an answer from another Football question about the origins or the beginning of the game. We don't really know how big the first ancient football pitch was. In 1863 the English invented football and set out specifcations for size of a football pitch.
The Oklahoma Sooners have won eight Big 12 Conference championships, in 2000,2002,2004,2006,2007,2008,2010, and 2012 (with Kansas State.)
60- most are from Michigan, OSU, Penn St. and Minnesota
From 1912, which is when Ohio State joined the Big Ten, they have won 32 Big Ten Championships.
Nebraska won 29 Big 8 championships (24 outright and 5 as co-champion) and, prior to the 2010 championship game that Nebraska will play in, 2 Big 12 championships.
Oklahoma has 7 Big 12 Championships
big 12 has the most with the most championships. but does no have the school with the most as a program which is notre dame
To date, Michigan has won 42 Big Ten titles
They have won two, in 1945 and 1967.