Mrs. Flintstone's washing machine was that bird who stopmed up and down on to the laundry while the "Irish Washer Woman's Jig" record was played.
Cannot recall if it was either Mrs. Flintstone or Mrs. Rubble had the crocodile that washed by swishing it's tale back and forth into a wash tub.
All the above was rather strange since large non-animal powered washing machines must have existed. When Fred Flintstone fires the baby nurse his mother in-law sends after Pebbles is born, he leaves the newborn on top of a stack of laundry; Mrs. Flintstone walks in and sees what mess her husband is making and that he has left the baby on top of the laundry alone. Tired and cooing towards her child Wilma takes the baby for a nap with her, a few moments later the laundry man enters and scoops up the basket to take the wash to a commercial laundry. Of course Fred now thinks the baby is still in the basket and runs to the laundry and jumps into a rather large washing machine with a window.
Tom and Jerry had cool 1930's and 1940's appliances (lots of "Streamlining". The best had to be the black maid (whose face we never saw), that ran around screaming "Thomas"! "You good lazy cat".
Bugs Bunny didn't have that many washing machine/appliances, aside from "Baby Face Finster" who Bugs chucks into a washing machine saying to "get 'ems all tided up".