There's always something with Bama that feels like they get the breaks in winning NTs while some teams have dominated in the past and didn't win the title.
You mean like this?
64 They win NC but lose bowl. In fairness all prior AP/UPI NC's where awarded before bowls, but Arkansas was 11-0.
65 AP decides to wait until after bowls to name NC. #1, 2 and 3 all lose, guess who is #4. Though at 9-1-1, they still had 4th best record.
73 UPI is still giving NC before bowls, so Bama splits title with Notre Dame, who beats Bama in Sugar Bowl. UPI starts naming NC after bowls the following year
78 11-1 Bama splits title with 12-1 USC who beats Bama 24-14 in Birmingham
That's just the poll titles.
There's a certain irony that Auburn is the exact opposite, getting hosed in 83 and 2004.