is there a digital tv on the market that does not require an aerial and that will play dvds?

Answer 1

All tv's are able to "play" (display) output from DVD players. There are also digital, plasma, lcd flat screen sets with built-in DVD players, which is what I think you want.

As for "aerials" - or the old fashioned antennae strapped to your chimney, no, you don't need one, but you have to have some way of getting the tv signal to the tv, such as a cable or satellite system.

I suppose if those alternatives are not available in your area, you may find an indoor "aerial" that can be placed on your tv or somewhere in your home.

Answer 2

All televisions require an aerial, otherwise they cannot receive any broadcasts...