notre dame
Miami
Probably because they make plenty of money with the current BCS format that they don't need to rock the boat.
Bowl Champion Series
The NCAA does not select a champion in Division I-FBS college football-the only varsity, NCAA-sponsored sport to not have an official championship. The NCAA does, however, recognize championships that are awarded by "major selectors;" organizations that are generally and widely regarded as major sources. Today, those sources are the BCS (in conjunction with its agreement with the ESPN/USA Today Coaches' Poll) and the Associated Press. Beginning with the 2014 football season, the College Football Playoff will replace the BCS.
UGA bulldogs
"The BCS National Championship Game, presented by Allstate."
Duke blue devils
VANDY
The NCAA has no controlling body over the bowl games or the BCS. The NCAA college football season is over after the regular season in Div 1 college football. Therefore the awards are given at the conclusion of the season.
The University of Texas Longhorns, who defeated the USC Trojans in the 2006 Rose Bowl.
None since the BCS determines the national champion.
None. There's no such thing as a "NCAA football championship" in Division 1-A. The NCAA does not choose a national champion. However, LSU has won two BCS national championships (2003 and 2007 seasons), and was awarded one national championship by the AP (1957 season). I think they were also awarded one retroactive championship for a team in the 1930s by some obscure polling organization.