The Oregon state flag is the only one that has something different on each side. Though i haven't spent anytime at all pondering the flag of Oregon, when I was at a prison recently, there was a large flagpole out in front, and there, flapping the the breeze, was a little yellow beaver. the other side is a boring state seal.
And music for you:
British Sea Power - Waving Flags
Chin Up Chin Up -Blankets like Beavers