Here's a list of 12 very good teams without a title,not in order.
1952,29-3 No.1 AP & UPI
1954,25-0 No.1 AP No.2 UPI
1962,23-3 No.3 AP & UPI
1966,27-2 No.1 AP & UPI
1970,26-2 No.1 AP & UPI
1975,26-5 No.2 AP No.4 UPI
1984,29-5 No.3 AP & UPI
1986,32-4,No.3 AP & UPI
1993,30-4,No.6 AP & No.3 CNN/USAToday
1997,35-5,No.5 AP & No.2 CNN/USAToday
2003,32-4,No.1 AP & No.4 ESPN/USAToday
2010.35-3,No.2 AP
You be the judge