I've had my 30GB Zune freeze up before, and plugging it in to a power source seemed to help then; however, it seems to have frozen this morning at the Zune loading screen just as the rest of the people here are reporting. I think my approach now is to wait for the battery to die then hook it up to the computer to see if the Zune software will at least recognize that it's connected.
I'm really curious why all of the Zunes are failing at about the same time. I wonder if it has anything to do with the clock or some of the programming. It's a good thing that I only paid $350 for this 3 years ago...sorry, I almost choked over my sarcasm.