The Zombies made their movie debut in the unlikeliest of films - a murder mystery called Bunny Lake Is Missing starring Lawrence Olivier.
They are hardly in the film. I seem to remember a scene with Olivier and Carol Linley in a pub that happens to have a television tuned to a Zombies' performance. The song plays under the actors' dialogue.
If there were any other scenes, I don't recall. But at least the band did get to shoot this interesting promo.