Penn state
There was no true national championship game before the BCS era. However, in 1942 Georgia beat UCLA in the Rose Bowl to earn a share of the National Championship, along with Wisconsin and Ohio State.
For the National Championship, Georgia Southern beat Nevada 36-13 for their 4th Championship Title.
Uconn beat Georgia Tech
The Nebraska cornhuskers beat Florida for the 1995 national championship.
Miami
The University of Miami
In 1982 there was no National Championship game. However (#2) Penn State beat (#1) Georgia 27-23 in the Sugar Bowl, Penn state was voted the National Champions in the final regular season poll with a record of 11-1-0
Alabama beat USC Alabama was the champions
Oklahoma Sooners
North Carolina beat Michigan to win the 1993 NCAA Division I Men's Basketball Championship.
Yes
No. Duke beat Michigan in 1992, 71-51.