I've been looking for a solution for very small PC builds and MythTV.
I've found AMD APUs don't work, so I tried a cheap Intel G2030 processor with embedded Intel graphics. The processor is only $50.00. Up until recently you needed a dedicated NVidia card to run MythTV. It's looking like the Intel is doing fine. I even have VAAPI acceleration going and it seems to be working flawlessly.
This is a boon to me. Small ITX board. A 55 watt processor with embedded graphics that can run the entire system. I'll keep you guys posted as I continue to test.