Trivia: According to the Director's commentary, Twentieth Century Fox Film Corporation did not want the film to be released under the title "Independence Day" to avoid legal complications (specifics weren't disclosed as to what the problems might be, but it's also why the abbreviation "ID4" was used). Roland Emmerich (director/writer) and Dean Devlin (writer) needed to justify the title, so they added the rousing bit right at the end of President Whitmore's speech at the hangar when he ends with, "The 4th of July will no longer be known as an American holiday...today we celebrate our Independence Day!"
Trivia: When Cruella gets angry after offering the couple £7000 for the puppies and they refuse the offer, she storms out of their house and heads for the car. She then hits one of the two stooges and as she goes to get in the car you can clearly hear her say the word "fu*k".
Trivia: Throughout the entire movie, no one ever says the bass player's name. Even in the credits, he is listed as T.B. Player and The Bass Player.
Trivia: The movie wasn't based on a true story. The Coen brothers just threw that in. That said, the special edition DVD of the film contains a statement that the film was inspired by a real life incident in which Richard Crafts killed his wife Helle and disposed of her body by feeding it through a woodchipper.