Rumpelstiltskin asks the Mad Hatter about a pair of slippers. This is a reference to Dorothy and the ruby pair she uses to get home at the end of The Wizard of Oz (1939) or the silver pair used in the book The Wizard of Oz by L. Frank Baum.
The mad scientist coat worn by Victor is called a Howie Coat. The design has been used in England for over 100 years. In 1978 a UK medical laboratory health and safety report (chaired by Dr. J. W. Howie) required lab personnel to wear this style of coat, which provides much better splash protection than regular open front lab coats.