I think this would make a big difference in people's lives, as eye contact is a pretty psychologically important way to connect with other human beings.
Does this already exist? Is anyone working on this?
[1] https://www.youtube.com/watch?v=3OC4CIfZ_1A
Somewhat tangentially, what I find from sudden rise in stay-home teleconferencing is that TV hosts as well as corporate teleconferencing users are almost completely clueless about teleconferencing compared to YouTubers and streamers, people think a superwide Logitech webcam and a laptop on your lap in a bathroom is all it takes. YouTubers run Sony Alphas all day with nice primes, some even REDs ARRIs, large dia condenser mics, Shure is entry-midrange there ... So a lot is there to learn from them, especially on budget.
The other way is using a microLED display. A microLED is so compact/bright that you can leave spaces between elements and can be 50% transparent or more looking from behind. Alternatively Optical/sensor elements could be interspersed with the microLED elements giving as good an image quality as can be achieved based on the area used.