Indeed, this is something I posted about a few times over the past years.
Have the whole front of the the device a screen, let's say a 1mm or 2mm bezel just to keep the glass in place.
So when you are using it hands free (watching a movie or using say a dock) the whole device would be all screen.
However, let's say, when you went to pick it up, depending on the mode you have set, a black strip appears all around the screen which looks like a bezel, but it's just being displayed by the screen.
Naturally this could then be user controllable for size and colour.
I can't really see why, even now, this could not be made, perhaps in a few years?