Don't know about 4K games but probably at least 4K movie playback, at least from streaming services and maybe from 4K Blu Ray discs.
If the companies are smart, they won't try to go all digital. People still like trading discs.
Maybe in the next year or two, HDR video content will catch on so the movie playback may have to include that.
As for VR, any company that tries to include it will get burned like MS did with Kinect 2. Put the BOM into the best performance you can get for a $399 intro price. Any fancy and costly controller just raises the cost. Make the VR available as an optional peripheral.
A 2017 or 18 console would need to support 8k video formats I'd wager. I believe LG is readying the first consumer 8k set for Ces 2016 .
As for VR , I don't think the headset will be included with the next gen consoles but I think its going to become a standard of gaming for next gen