The very same model was in my kitchen at the same time it was on TV. 9 feet of bread never came out of it though. Not all at once anyway.
Just having the back cut out for the bread scene wouldn't make it necessary to replace the stove. Neither would the rice spill. I think they had such thing as pressure washers back then. And the stove didn't have to work. On B/W TV, how can you tell whether an electric stove is working or not?
Notice they switched to the pushbutton door fridge for a season, then back to the original?
Now here's the REALLY hard ILL appliance question. The Ricardos got a new washing machine (we never saw) and sold the old one to the Mertzes. The badge on it said "Eperway" but pretty sure that was just made up, so they wouldn't get sued when it was shown malfunctioning. What brand WAS it?