The southeastern conference
SEC
Judy Devlin won 8 consecutive national titles starting in 1955 and ending in 1963.
The Green Bay Packers have won three National Football Conference championships since the National Football League's merger with the American Football League in 1970. Green Bay won the titles in 1996, 1997 and 2010.
Miami
None.
Alabama
I assume you mean SEC, 4 consecutive
4 National Titles. I
2
Zero.
One in 1939
Princton