A Kid's Movie Basics 
Sports Movies
I love movies. But it's been something of an aquired taste for my kids. I've been chomping at the bit to take them to movies I love. It was great to take my son to the last Star Wars movie in the theater. He was finally old enough and interested in time for the last one. My daughter hit the old enough and interested enough for Harry Potter and the Half-Blood Prince. But to get each of them to that point, they had to see each of the other movies in those series, not only to understand the plot, but to get used to the atmosphere and production values of the movies in general.
A movie about teenage superheroes, Sky High, which I thought was totally appropriate for my kids when they were younger, had a soundtrack so loud and scary we had to leave before it was over.
Did you know one of the first movies that people actually experienced in a theater, The Great Train Robbery, had a scene at the end of the film where the chief bandit looks directly into the camera, draws his gun and shoots? The film medium was so new and the audience so unfamiliar with it, that adults ran out of the theater screaming. I believe kids have to build up their exposure to movies, so they can understand them and feel the fun of them. If you do this with them, they'll also be less likely to take the language, sexuality, violence or evil that they see and make it a part of their conversations. Film is a realistic medium, and those things will seem like a common part of life unless you tell your kids different.
Sports movies that kids would like (and you too!):
Hoosiers 
This movie is probably the perfect underdog story. Probably because it's based on a true story. It's about determination, forgiveness, holding on to your principles. A little bit of David vs. Goliath.
Watch this before March Madness if your family likes basketball.
Rookie of the Year 
I think any kid would love to wake up one morning and have superpowers. This guy's superpower is throwing a baseball. Good silly fun about not losing your way.
The Pride of the Yankees 
I know it's an older movie, but Gary Cooper delivers Lou Gehrig's speech almost the with the same inflections that Lou Gehrig delivered it. Historically, this is how the disease amytrophic lateral sclerosis became Lou Gehrig disease.