Looking at Brutus' list from the OP of schools that Ohio State has never played, here are their AP Poll histories (all are out of 1,151 total polls over 83 seasons):
- Iowa State: 48 appearances (4%), one appearance in the top-10 (2002) never higher than #9. 1 preseason ranking, 2 final rankings.
- Kansas: 109 appearances (9%), 38 top-10 appearances, 9 top-5 appearances, 1 appearance at #2, never #1. 6 preseason rankings including one top-10, 7 final rankings including 3 top-10's.
- Mississippi: 289 appearances (25%), 124 top-10 appearances, 61 top-5 appearances, 21 appearances in the top-2, 5 appearances at #1. 18 preseason rankings including 11 top-10, 4 top-5, 2 #2 and 1 #1, 25 final rankings including 11 top-10, 4 top-5, and 2 #2.
- Mississippi State: 202 appearances (18%), 19 top-10 appearances, 8 top-5 appearances, 5 appearances at #1. 8 preseason rankings and 14 final rankings including 1 top-10.
- Georgia Tech: 306 appearances (27%), 146 top-10 appearances, 58 top-5 appearances, 13 appearances at #2. 14 preseason rankings including 7 top-10's and 3 top-5's, 24 final rankings including 11 top-10's, 5 top-5's and 2 #2's.
- Wake Forest: 42 appearances (4%), never higher than #11. 1 preseason ranking and 4 final rankings.
By comparison Ohio State has 902 appearances (78%), 622 top-10's, 372 top-5's, 187 top-2 appearances, and 105 appearances at #1. 65 preseason rankings including 43 top-10's, 27 top-5's, 16 top-2's, and 8 #1's along with 58 final rankings including 38 top-10's, 27 top-5's, 12 top-2's, and 5 #1's.
Of that group obviously GaTech and Ole Miss stand out but the vast majority of Ole Miss' damage was done 40+ years ago with only sporadic success since then. GaTech seems a little more consistent lately but they are still awfully sporadic with a really good year in 2009 (15 polls, high of #9) but only 21 appearances in the nine years since.