I've got a Sharp Aquos Crystal. If I use it without a case, it will frequently register touch events on the edges of the screen just from holding it. There's no way to hold it that will prevent this.
http://www.slashgear.com/ipad-mini-thumb-rejection-technolog...
If google integrated that kind of thumb/holding hand rejetection to android (since most android manufacturers seem too incompetent to do it themselves) we could absolutely see an era of bezel-less devices that works fine.