What you are talking about is called dramatic irony. It occurs when there is so much meaning and revelation in the story, that you can enjoy and take pleasure in watching it over and over again throughout the years even though you already know what will happen in the plot.
Just for your own edification, this is not what dramatic irony means. Dramatic irony occurs when the audience is privy to information that a character is not, which in turn creates suspense or humour depending on the genre of the story in question.