In 1966, George Harrison went to India for six weeks. He stayed at the Taj Mahal hotel in Mumbai (which is unfortunately just outside the core zone, although it is Victorian Gothic). But at some point during the trip, he had his photo taken in front of the actual Taj Mahal.
See www.beatlesbible.com

John Lennon posed in front of it in 1974 during the Deportation attempt
See www.nydailynews.com

"Lucy", whose discovery was the justification for inscription of this WHS, "a cquired her name from the song "Lucy in the Sky with Diamonds by the Beatles , which was played loudly and repeatedly in the expedition camp all evening after the excavation team's first day of work on the recovery site." (Wiki)

The USSR prohibited the Beatles from performing in Red Square and banned their music. Eventually, in May 2003, Paul McCartney performed there in front of Putin. see
See news.bbc.co.uk