The nearest regular cinema is The Picture House in Stratford upon Avon (6 miles/10km). Click here to see what is currently showing. As well as regular cinema they also do things like live screenings of Opera and Ballet so check out their Events page if this interests you.
Everyman has now also opened a cinema in Bell Court in Stratford-upon Avon. Their current pictures showing are available at this link
There are also cinemas other local towns such as Redditch and Leamington Spa.