Well, when I was a kid (not long ago) I used to wash dishes at a restaurant using this high pressure water hose. You could clean almost anything in less than a second flat.
The main drawback, I am repeatedly told, is that water splashes everywhere. While a pro can learn to redirect it neatly, it
doesn't make sense for common household usage.
What if you had a flexible plastic sheet covering the sink? Then you could stick your hands in there and wash things up. No extra machinery, nothing to break, no rinsing before stacking before taking it out again.
Another idea is to use pressurized air, which would eliminate the hazards of splashing, and remove one's need to dry the dishes. Just put it in and blast away.
Just a half baked idea. : p