An OLED screen will deliver that (pure black and sub-ms response time). And they are on sale now as televisions (albeit at scary prices along the lines of US$13000 for a 55" screen). 4k OLED screens with a 55" diagonal have also been demonstrated. From the sounds of things, new manufacturing techniques are being developed that will bring the prices down to sensible levels.

Here's a review of one of the screens currently on the market: http://www.digitalversus.com/tv-television/lg-55ea980w-p1619...

Strangely, the first few OLED TVs at size have been concave (presumably more "because they can be" rather than because they need to be). Flat screens are also hitting the market now: http://www.oled-info.com/oled_devices/tv