We try to be careful about what movies we watch, and I'm sure our caution will only continue to increase as Katie gets older and we are watching movies as a family. A great source for checking into movies before you watch them is pluggedin.com, by Focus on the Family. I've used this resource for years to see whether movies were suitable for watching.I especially like to use it when we are going to see a movie in the theaters, since we can't fast forward there!
They have hundreds of reviews: old movies, new releases, and movies still in theaters. Each review gives a summary of the plot, as well as specific positive and negative elements (such as sexual content, bad language, etc). Scripture does not give any specific guidelines for exactly what we watch, but I think we'd all acknowledge that we should be careful what we allow in our homes, especially when it comes to what our children see.
If you haven't used this website before, I would encourage you to check it out next time you are planning to watch a movie.