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Beverly Hills Cop
Executive Meddling: When the script for Beverly Hills Cop was in development the character of Jenny was supposed to be the Love Interest. After Eddie Murphy was finally cast in the part, Paramount got nervous and decided to make Jenny Axel's platonic childhood friend.
Hey, It's That Guy!: Chris Rock had his first film role in Beverly Hills Cop II as a valet at the Playboy Mansion.
Damon Wayans plays the guy who gives Axel the bananas in the first movie.
Axel cuts in front of George Lucas to get on a park ride in III.
Old Shame: Eddie Murphy has spoken negatively about Beverly Hills Cop III since its first release.
Director John Landis has claimed that Eddie did everything he could to subvert any possible humor in the film by deliberately not being funny.
What Could Have Been: Both Mickey Rourke and Sylvester Stallone were approached to play Axel Foley. When Stallone was attached to the film the character of Jenny was supposed to be his Love Interest. After Eddie Murphy got the part, Paramount made the somewhat cowardly decision to make Jenny Axel's platonic friend.
Tony Scott wanted Hans Zimmer to score the second film but the studio insisted on a name composer and Harold Faltermeyer returned. Zimmer would go on to do a number of films for Scott and producers Don Simpson and Jerry Bruckheimer.
According to The Other Wiki, rejected screenplay ideas for III would have found Axel in London, teamed up with either Sean Connery or John Cleese.