Yes, but you are oversimplifying it.
We eat mostly the same food recipes, but there is a lot of variation in how that food tastes, depending on who makes it, not to mention the mistakes happening in the preparation process. That's also why you can't find in a restaurant the familiar taste of the home-cooked meals that your mom or grandma used to cook while you were a child. Can you automate a fast-food chain, like a McDonalds? Of course, but that's not food.
Plus, one of the reasons for why many of us like to try out restaurants is to get some variety and even though the database of all known food recipes is limited, the combinations possible for sweetness, sourness, saltiness, bitterness, and umami, as received by our tastes buds in various proportions is infinite. Therefore even though we have plenty of food recipes already, there's always room for more.
Your impression that movie plots can be generated with random combinations stems from the recent wave of Hollywood movies filled with special effects and dumb plots. I personally like movies with special effects and dumb plots. It's mindless fun. But sooner or later I'll get tired of it, as will many people. Comedy and drama on the other hand need originality and while you can find traces of inspiration everywhere, every successful book or movie ever made also have original pieces in them.
You're also oversimplifying the technical challenges, as if random combinations of available plots is easy. It's not. This is not like playing chess. For this to work you need (1) a way to generate something coherent, because as much fun as it is to generate gibberish with Markov chains, the step from here to generating something meaningful is quite big and (2) a way to measure the fitness of a combination and drop the combinations that don't work. What are you going to do? Expose people posing as lab-rats to millions of combinations and measure their brain activity?
(yes, I'm the type of engineer that rains on people's dreams, by thinking of the technical challenges involved :-P)