Actually, Murray just says "the producer" is the one who gave him a ride, which in this case would be Ivan Reitman (who directed Ghostbusters). Harold Ramis wasn't involved in Space Jam, and in any case it's unlikely Murray would have accepted a ride from Harold Ramis.
During the therapy sessions, Larry Johnson says that his grandmother can play better than him (reference to a series of Converse ads where he played his "Grandmama") and Charles Barkley brings up an old rumor declaring that "I'm never gonna go out with Madonna again."
Alternate Ending: The Junior Novelization has one, in which the Road Runner comes in and scores the second-to-last points of the game instead of Bill Murray. Likely because no young reader will know who Bill Murray is.
Creator Backlash: Two years after the movie's initial release, Chuck Jones was rather critical of this movie; he believed the plot could easily have fit in a seven minute cartoon and felt it was out of character for Bugs to be asking for help and for things like Porky's "I think I wet myself" line. Animator Greg Duffel spoke of an incident that occurred shortly after the film's release, where Jones ranted about the film and its flaws at a dinner party celebrating the movie—so much so that executives had a couple of security guards remove Jones from the premises.
Reality Subtext: Michael Jordan did indeed return to basketball after a stint at baseball (where he was set to retire into at the time) and led the Chicago Bulls to victory on his first game since retiring! In reality, there were sliiiiiiightly less Tunes involved.
Well, one could argue that practicing basketball so he could shoot gameplay scenes with proper verisimilitude was what helped get Jordan back into shape for un-retirement.
What Could Have Been: Joe Alaskey said in an interview he initially expressed interest in voicing some of the Looney Tunes for this film (or at the very least, provide Daffy's voice). But, despite the fact that Alaskey had several years of experience doing spot-on renditions of Mel Blanc's characters, producer Ivan Reitman kept making him audition several times, and flip-flopping back and forth as to whether or not he should be cast. Alaskey finally got fed up and said, "Look, either you want me, or you don't!" Alaskey didn't hear from Reitman again after that. In the end though, Alaskey admitted he was glad he wasn't involved in Space Jam after actually seeing the movie and realizing it was a terrible film.
Noel Blanc (Mel Blanc's son) was originally supposed to provide the voice of all of the regular Warner Brothers male cartoon characters, but he and Warner Brothers couldn't agree on a contract, so the studio replaced him with Billy West (Bugs Bunny and Elmer Fudd), Dee Bradley Baker (Daffy Duck, The Tasmanian Devil and Toro), Bob Bergen (Marvin the Martian, Porky Pig, Tweety Bird, Hubie and Bertie), Bill Farmer (Foghorn Leghorn, Yosemite Sam and Sylvester) and Maurice LaMarche (Pepé Le Pew).