Uncle Fester powering a light bulb with his mouth is a reference to the original [TV series], where he does the same thing.
Director Barry SonnenfeldBarry Sonnenfeld had not originally planned to use the theme music from the [television series] in the movie. He included it in the opening sequence after positive reactions to the early trailer, which included the theme.
The very same polar bear in the main parlor of the Addams' house in the [series] from the 60's appears in this movie as well.
The auction scene in which Morticia and Gomez take turns bidding for an item they themselves donated is based on a similar scene from the episode {Morticia's Favorite Charity} from [The Addams Family] in the sixties.
Several scenes reference original Charles AddamsCharles Addams illustrations, most notably the introduction sequence where the Addams family pours a cauldron of oil on the Christmas carolers, the passenger on Gomez's toy train, the octopus painted on the footboard of Wednesday's bed, and Pugsley with the road sign.
In the [television series], Fester was Morticia's uncle (and hence not technically an Addams), but in the films, he is Gomez's brother and is referred to as Fester Addams.
The name Wednesday is a reference to the line in the Mother Goose poem that goes, "Wednesday's child is full of woe."
The Addams' house was built for US$100,000.
In the original [TV series] Grandmama was Gomez's mother and her name was Eudora Addams. In the films she is Morticia's mother and he name was changed to Esmerelda Frump (Morticia's mother in the series was Hestor Frump).