Which have you attended?
Here are three I can recall seeing in person. I had to look up the scores.
1978 Sun Bowl: Texas 42, Maryland 0
1983 Liberty Bowl: Notre Dame 19, Boston College 18
1986 Liberty Bowl: Tennessee 21, Minnesota 14
I worked at the WSU/Michigan Rose Bowl but nobody considered that one minor.
My parents attended the 1954 Cotton Bowl, made famous by the guy coming off the sideline to make a tackle.