in the last 70 years? I can only think of two (ND and USC) that have done it with any consistency. Despite being a nouveau riche, Miami probably belongs on the list as well, so that makes three. Stanford, TCU, SMU and others have had some moments of success, but haven't put together sustained success over any extended period of time. I think it's the excelling at football part that makes it hard for private schools to excel at both. More private schools seem to do well in basketball.