I'm not sure it would work in the States, where we have huge multiplex cinemas, as well as high-end home theaters, but across the pond, there's a social experiment going on called OurScreen. Potential moviegoers vote for which movie they would like to see, at a particular participating theatre, and the top vote getter is shown. It's a bit like ChatRoulette meets Netflix, with a dash of Democracy.
Of course, just like with Democracy, you don't always get what you want. But, at FlixAcademy, we salute OurScreen for taking a chance and we'll be watching to see how it works out!