It seems that the Oculus website doesn't quite agree with AMD's current lineup of CPU's, and won't certify you as having a VR ready PC if you happen to have one, either. Now, it's well known, and not refuted by any means, that the performance is certainly not on par with Intel's current generation (and last generation) of CPU's, but that doesn't mean that they won't be able to provide a good VR experience, either. So AMD has released their own list of VR ready processors so that AMD owners, and fans, aren't left out.
The list contains CPU's that have been tested to a certain standard of performance, internally, when using VR. Essentially, Vishera is more than capable of handling the complex tasks in VR with higher clock speeds. The FX 8350 all the way to the FX 9590 make the list, as well as the higher clocked six core variants. A note, however, is that AMD has amended their list and take off the APU's and Athlon X4 880 an 870K, though not because they can't do VR, but because they haven't been qualified internally yet.