It would depend on what you are using to qualify as the "best" team.
bates college
The Alabama Crimson Tide.
notre dame
Michigan
If you are asking about college football, I believe all fifty states have at least one college with a football team, and some have many more than one. If you are asking about professional football, there are a number of states that do not have a team at this time: among them are Maine, Mississippi, Alaska, Hawaii, Vermont, and North Dakota.
no one anymore. it was retired after THE GREATEST COLLEGE FOOTBALL PLAYER OF ALL TIME VINCE YOUNG left
University of Southern California
Tie between Joe Paterno and Bobby Bowden
First non-collegiate team was the Canton Bulldogs, formed in 1905. But college football had been being played for nearly 40 years by this time.
maybe this will help ...http://www.secsportsfan.com/top-all-time-ncaa-college-football-national-championship-conference.html
All-Time College Basketball Team With Most Wins up til 08-09 season* University of Kentucky with a record of 1988 wins and 635 lossesAll-Time College Football Team With Most Wins 1869-2008* Michigan with a record of 872-295-36
Oakland Raiders