re: Power 5 teams with ZERO wins vs. AP #1 opponents (All-Time)

Definitely a few surprises...

I think I'd put Oklahoma State at the top of that list. 0-11, I'd assume a lot were against Oklahoma (the rest being Nebraska).

It's an instate rival, same as the Iron Bowl with Alabama and Auburn. You'd think they'd have gotten 1 at least, just like Auburn has in similar situation.
Vs Nebraska, not so much.

Iowa and Colorado kinda stand out. Nebraska was still a thing when Colorado had their run, and Iowa always tends to be a solid bowl-worthy team (that would play Michigan and Ohio State). In both cases, you'd have thought they'd meet a #1 when they were good, and break through once at least.
I sort of include Pitt in this, but that's assuming #1 would be Penn State back when they were Eastern Independents, and that was a big matchup. If it's against Clemson in the ACC, not so much.

The rest, including Ole Miss and Mizzou, mostly just cannon fodder. Oregon was crap most of their history, and when they finally ascended, USC had fallen off; so no matchups vs #1.