Sears had a line of stores back in the early 90's like that. Everything in the store was a display and you took around a little clipboard. Name escapes me, maybe just a so-cal thing.
The idea dates back even further than that, to the failed but fascinating Keedoozle, the second venture attempted by Clarence Saunders, founder of Piggly Wiggly, after his financial ruin attempting to corner the market in his own stock.
You'd go around the store, your selections would be punched into a card, and at the front your food would be automatically delivered via conveyor belt.