I never actually saw the film, instead I remember reading about it (I think on Wikipedia) a long time ago.
It's along the lines of a man not having time to read books in general. Something happens one day, however, and all other people vanish, and he is left alone with plenty of time. However he loses (or breaks) his glasses and can no longer read.
It's definitely an American production, and IIRC quite old. I remember about it from time to time because the plot seemed so over the top when I read about it.