"I can't get into that story because the basic premise makes no sense"

Sometimes a movie, book or TV show can be cool, and have interesting characters, and tons of avid fans — but you just can't bring yourself to like it, because the premise makes no damn sense to you. Which great science fiction or fantasy universe could you not appreciate because of a flaw in the basic idea?

Please include a picture or clip or book cover to represent this fatally flawed story. And please include the Name and The Fatal Flaw. Thanks!

Top image: The Matrix, with its human batteries.