At the risk of being seen as a shameless self-promoter, I would suggest that my own book, Focus: The Art and Soul of Cinema, is a key read for any Christian who wants to think about film and worldviews.
Some other books I recommend highly (in alphabetical order, by author, not in terms of merit):
Peter Fraser and Vernon Edwin Neal, ReViewing the Movies: A Christian Response to Contemporary Film (Focal Point) (Crossway, 2000).
Brian Godawa, Hollywood Worldviews: Watching Films with Wisdom & Discernment second edition (IVP, 2009)
Jeffrey Overstreet, Through a Screen Darkly: Looking Closer at Beauty, Truth and Evil in the Movies (Regal, 2007)
Nick Pollard, Evangelism Made Slightly Less Difficult: With Study Guide (IVP, 1997)
William D. Romanowski, Eyes Wide Open: Looking for God in Popular Culture, second edition (Brazos Press, 2007)
James W Sire, The Universe Next Door: A Basic Worldview Catalogue (InterVarsity, 2004)
I will update this page with further recommendations and some comments when I get chance.