A classic example that is always amazing to watch:
(Incidentally, the engineering term for this is "aeroelastic flutter". Isn't that great?)
Rice on a speaker (turn down your volume!):
Finally, this is a little physics demo that for some reason I like, even though it is a little slow. While you're watching it, imagine that the little test objects are buildings in an earthquake.
Can you figure out how all of these relate to each other?