The original white
DJI Goggles do what your looking for better than any other option out there that I've found.
The red (RE) edition
DJI Goggles will also do the same, but you'll pay significantly more for
slightly lower latency which you'd never notice unless you're racing. (hence:
Racing
Edition) I don't know who races a DJI drone anyway.
I play Xbox One X and watch 4K movies on my
DJI Goggles all the time via the HDMI port - they work great. They are a bit bulky so I'll sit or lie with my head rested against a pillow for longer gaming sessions. The
goggles' batteries last me about 5 1/2 hours. And the head-tracking feature is very cool - I use it a LOT.
The great thing (for some of us) about the
DJI Goggles is that there are quite a few people who bought them and found that they don't work well with their vision issues. So there are a lot of pairs of
DJI goggles out there that have BARELY been used that you can buy from individuals at a discounted price. I got mine on Ebay for $300 about a year ago from a guy who had only used them a couple of times. Love them.
I have pretty bad eyes (near and far sighted - progressive lenses) but surprisingly, (luckily) I have zero problems seeing the screens in the
goggles crystal-clear, with no lenses or inserts. Everyone's vision is different and it really varies from person to person, I believe.
Hope this helps. Good luck.