ACC: 19-18
BIG 10: 18-31-1
Big 12: 76-127-6
SEC: 14-11

Noteworthy records against other conferences:

The remnants of the Pac-12: 9-7
Mountain West (as it stands today): 298-132-16

Also of note: Our poor record vs. the Big 12 is historically significant, in that most of the losses came prior to the Lavell Edwards era.
For example, 39/60 losses to Utah came in the first 50 years of BYU football.
13/20 losses to Arizona State came before Lavell was head coach.
All eight losses to Colorado were before Lavell became head coach.
Etc.