Does the Zune have a way to move the files off of the player and onto your computer? If so and the files aren't DRM'd, you shouldn't have a problem. (Sorry, I don't have a Zune.) Incidentally, I assume you don't have one of those that shut down after a certain time after 2009? I believe it was a 30 gig size model? BBC NEWS | Technology | Microsoft Zune affected by 'bug'
EDIT- There might also be a way to send the files via Bluetooth, but I'm sure the files will have to not have any DRM. You'll probably have less luck this way, but you can look into it.