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.
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
We'll see how long it takes for good OLED tech to make it into the consumer computer monitor market. When I was younger, it was predicted that we would have affordable 600dpi, sub ms switching time time LED computer monitors by the early to mid 2000s.
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