Most of Vagingham's comments are true, and he even left out some good points on some of the years.
I think that 1964 is maybe one that bothers me most. It bothers me because of how it played out, but also because the AP poll named their champ prior to bowls, so there just isn't anything that can be done about it. If we were using the same method that excludes 1973, then 1964 would be ruled out too.
Not only did Arkansas finish 11-0 to Alabama's 10-1, the one loss by Alabama was to Texas....a team that Arkansas also happened to beat. This one should so clearly be Arkansas. But you get to pull the "hey, we can't help it that the AP did it different back then, what, are we supposed to give it back now?"
So irritating.
1965 was pure luck because the AP named Alabama post-bowl, but went back to pre-bowl for the next two years before going post-bowl from 1968 on.
65 was strictly a "when they lost" deal, not a "look at the records" deal. Of the four teams (Alabama, Mich St, Nebraska, and Arkansas), only Alabama won their bowl game. Going into the bowls the other three were all undefeated, with Alabama ranked #4 behind all three of them. Had 1965 been a pre-bowl title, it would have been Michigan State.
But if you play the "look at their records" card for saying who should have won it, Alabama would not have been the team. They lost to 6-4 Georgia and tied 8-1-2 Tennessee (who had lost to 7-4 Ole Miss and tied 5-5-1 Auburn). Michigan State lost to 8-2-1 UCLA, but also beat Notre Dame (7-2-1) at Notre Dame, as well as 7-2 Ohio State. Arkansas' only loss was to 8-3 LSU. Nebraska's only loss was to Alabama.
You could say "so Alabama should be ahead of Nebraska because they beat them head to head". That only works with undefeated teams. Nebraska's one loss was to Alabama. Alabama's was to Georgia, and a tie with Tennessee. Nebraska's loss was "better" than Alabama's. Anyway, this one is what it is, the AP named them #1 because of when everyone lost (last game of the year) and when Alabama lost (first game of the year).