notre dame
Winningest sec football team of all-time is Alabama.
2006 when they beat Notre Dame
The Dayton Flyers men's basketball team is a college basketball program. Dayton is one of the top-50 all time winningest Division I college basketball programs.
Kentucky
bates college
Michigan
No, they are behind the Miami Dolphins and the Baltimore Ravens. As of 2012, according to pro-football reference.com, the Oakland Raiders have a .542 winning percentage.
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.
Howard Keith Turner played college football at the University of Florida. He was a member of the Florida Gators football team during his time there. His contributions helped the team during his collegiate career in the Southeastern Conference (SEC).
The Alabama Crimson Tide.
University of Southern California
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.