The Dayton Flyers have not won a National Championship in any men's or women's sports.
I wouldn't say 'national championship' but the professional sport of frisbee is 'ultimate frisbee'.
University of Texas
Oklahoma has won 31 big 12 championships. I'm not sure of the breakdown by sport, however.
Wrestling is the sport in Oklahoma.
The University of Michigan has the most with 11 national championships the last in 1997. GO BLUE
I believe Pitt and Ole Miss have never won a national championship. Update: Ole Miss actually has won a national championship in Tennis but not football.
The Stanley Cup is the championship trophy of the National Hockey League and is said to be the oldest trophy in North America.
The Oklahoma Sooners? Football, of course!
Sahmyook University's motto is 'prudentia, animus, corpus corporis'.
NATTY stands for National Championship in college football. It is a colloquial term used to refer to the national championship game or title in the sport. The term "NATTY" is often used by fans and media to hype up the significance of the championship game or title in college football.
The Duke Blue Devils in NCAA Men's Basketball