Attempting to make jam, Lisa shaves the peaches with an electric razor, then stomps them with her bare feet. When she makes toast, she puts bread slices in a toaster and then puts the toaster in the oven.
Lisa's suggestion that Arnold's pose with the speaker horn of the Ziffel's record player resembles the dog similarly posed in commercials is an allusion to Nipper (1884-95), the Bristol, England, dog who modeled in 1898 for the Francis Barraud (1856-1924) painting "The Master's Voice." The painting became the source of multiple advertisements by multiple gramophone manufacturers at the time, and the resulting trademark image is perhaps best known for its association with RCA Records, originally the Victor Talking Machine Co.
Eb likens the tension between Lisa and Oliver to a movie with Joan Crawford, who starred in many movies the plots of which often portrayed relationships fraught with tension. Perhaps her best remembered film of this ilk, for which she won a best-actress Oscar, is Mildred Pierce (1945).
Eb suggests that his ladder trick is something he borrowed from Laurel & Hardy, i.e. Stan Laurel and Oliver Hardy, who teamed in well over 100 movie comedies (movie shorts, as well as feature-length films) from 1921 to 1950. Their comedic gags often relied upon schtick similar to the one Eb uses to emulate them.