1966 Alabama should be given NC status. 2-time defending champ and went undefeated.
1994 Penn State should be given NC status.
1960 Ole Miss
Those three flat out deserve it. I don't find their cases at all controversial if you could do it. OM and Bama's situations are likely due to southern racism. Penalizing a college football team due to that. It's gross.
Others that deserve it, but would get push-back:
1983 Auburn
2004 Auburn
1984 Washington, Florida, or Oklahoma, just pick one
1977 Alabama (same situation as 83 Auburn). #5 beats #1, passes #3 who won their bowl.