Not so sure about that one, Shawn, since Shammy's previous piece was the disgustingly theistic Signs
I thought "Signs" could be taken either way. He definitely jumped the shark at the end and a Theist could too easily interpret it as "God/Faith saved them" but anyone splitting hairs (like, the only way I can enjoy that otherwise most awesome movie), can say that the events drove the preacher to his actions at the end, but the events themselves were not at all divinely enacted.
I felt like one of the few people in America who actually loved "The Village!"
wouldnt the answer be "any movie in which god is not mentioned" ?
but i think i understand what you are asking.
try any movie which raises philosophical questions like "Fight Club" or "I Heart Huckabees".
I also find most sales related movies to be antireligious due to the nature of questioning and debating. Try "Thank You For Smoking"