There are Lego stop-motion movies everywhere, but the ones my kids like the most are those where something gets built, as opposed to using the mini-figures as actors. They were particularly inspired by the Youtube classic Lego Millenium Falcon Stop Motion, and wanted to do something similar. The following project details the creation of short (~ 30 seconds or less) movies that will probably require some computer help, but whose creative inspiration can come entirely from the kids: they can write, direct, execute and shoot the movie themselves.
Here's an example of a short stop-motion movie as an animated gif:
And here's an example of a longer build: