edge-to-edge screen will not work all that well when hold in hand and you touch the edge with your palm while trying to reach the other end of the screen with your thumb. Bezel is needed no matter how big the phone is, unless you drop the screen lower inside the edges kind of like a picture frame. In that case the bezel could be really thin indeed.
Do you know the 3GS?
I never touch more than the rear or the silver edge.