The story of X-Men centers around the premise of "What would happen in the United States if widespread mutations that resulted in superpowers were to occur." It focuses on the experience of the mutants and how they would react to persecution. Hint: some become good guys and some become bad guys so they can fight with their super powers.
Though some of the dated/sub-par special effects will leave the viewer having to suspend their disbelief with a little extra effort, X-Men is still a good movie. The actors and story make up for some of the downfalls, like some of the effects, and uninspired uniform design. They aren't my favorite super heroes, but I still watch this movie from time to time.