Help! (1965)

The Fab Four spoof James Bond and are chased in exotic locales around the world. The cause of their troubles is an item of jewelry in Ringo's possession.

'The Beatles' (qv) film has an obscure Asian cult that believes in human sacrifice after Ringo who has accidentally put on the victim's ceremonial ring. He is pursued by the cult, a pair of mad scientists, and a member of a side cult that no longer believes in human sacrifice, and the London police who are trying to help.