1)
Southern Cal 13-0
2) Auburn 13-0
3) Oklahoma 12-1
4) Utah 12-0
5) Texas 11-1
6) Louisville 11-1
7) Georgia 10-2
8) Iowa 10-2
9) California 10-2
10) Virginia Tech 10-3
11) Miami (FL) 9-3
12)
Boise State 11-1
13) Tennessee 10-3
14) Michigan 9-3
15) Florida State 9-3
16) Louisiana State 9-3
17) Wisconsin 9-3
18) Texas Tech 8-4
19) Arizona State 9-3
20) Ohio State 8-4
21) Boston College 9-3
22) Fresno State 9-3
23) Virginia 8-4
24) Navy 10-2
25) Pittsburgh 8-4
Because I am something of a head-to-head hardass, my own top 25 would look very different. I would put unranked Texas A&M (7-5) ahead of #18 Texas Tech because they beat them. Then #9 California would drop behind #18 Texas Tech because Tech beat Cal in the Holiday Bowl by a couple of touchdowns.
I'd certainly drop #8 Iowa behind #19 Arizona State, who romped on the Hawkeyes 44-7. And #14 Michigan and #17 Wisconsin would drop with them.
Then there's #13 Tennessee, who I would move up because they beat #7 Georgia and won the SEC East.
However, all of the AP poll's choices in these cases have strong enough arguments in their favor to be valid. A head-to-head result is still, after all, just one game, and each of these teams played at least 11 other games.
So let's move on to an ignored head-to-head result that is not valid...
13-0 Southern Cal's stomping of Oklahoma left 13-0 Auburn in the shadows in 2004, or to be precise, in the lower right corner insert, muttering "What about us?" 12-0 Utah didn't even get that much.