Princess Diana was one of the many celebrities who attended the star-studded screening.
Michael revealed he had no idea he would be sitting next to the late Princess of Wales until the film had started.
“She was sitting next to me,” he recalled.
“The lights go down and the movie starts, and I realise I am one fake yawn and an arm stretch away from being on a date with her, which is hilarious.”
Michael starred as Marty alongside eccentric scientist, Doctor Emmett L. Brown, played by Christopher Lloyd in the trilogy.
The films followed the duo using a DeLorean time machine to time travel to different periods in the history of Hill Valley in California.
It was nominated for five Academy Awards altogether, winning one for Best Sound Editing.
Michael went on to star in American sitcom Family Ties and Spin City.