People have been trying for years to do what you're describing with gaming-centric Android TV boxes.
People don't want to play mobile games on their TV. They want to watch TV while playing mobile games.
People don't want to play mobile games on their TV. They want to watch TV while playing mobile games.
If you combine the existing iOS games (some of which are actually kinda impressive visually) with an actually beefy machine that the AAA titles can easily target (shouldn't be that difficult), you have an offering unlike the others.