We're all told a picture is worth a thousand words, which makes a video worth 24,000 per second. Motion can bring life and interest to an otherwise simple piece. I'm a strong believer that less is more in these cases, prefering small, subtle, and clean hints of motion. The goal is to let the content do the talking, but have the motion give it some flourish.
These are a sample of the moving pieces I've done, either actual motion graphics, kinetic type, or animated lighting.