This must've been a no-brainer pitch to The Rolling Stones: "We'll make you larger than life. Towering over NYC skyscrapers. And, there will be lots of models." A simple idea — that was surely a complex production, especially in 1994 — perfectly executed by director David Fincher and an A-List team.
First off, we have Anton Corbijn's version, which is the one I most associate with the song. Shot on-location at and around Berlin's Samsa Studio where U2 recorded Achtung Baby and is probably best remembered as the video where U2 is dressed in drag (which overshadowed the fact that Bono's dad has a cameo in it, and made the band think that it wasn't appropriate since all single sales proceed were going to AIDS charities).