Q: Is there a difference between the Apple TV MD199LL/A vs. the refurbished Apple TV FD199LL/A other than one is refurbished?

Refurbished I would suggest - refurbished products have slightly different product codes.

AC

It almost seems like Apple's failure to specify Apple TV model numbers in its Apple Store and Support product pages is an effort to obfuscate details for the benefit of resellers. Here they are:

Apple TV 3rd Gen:  Part number FD199LL/A Model A1427

Apple TV 3rd Gen RevA (also called Rev2):  Part number MD199LL/A Model A1469

From a functionality standpoint the big difference is that the 3rd Gen RevA (currently $69) has the Peer-to-peer AirPlay, as noted in the tech specs at http://store.apple.com/us/buy-appletv/appletv

On the Peer-to-peer AirPlay page at https://support.apple.com/en-us/HT204289 Apple states "You can stream content to your Apple TV (3rd generation rev A, model A1469 or later) with software version 7.0 or later."

From a hardware standpoint Apple upgraded the 3rd Gen RevA chip from the A5r2 to the A5. Details are at

http://www.anandtech.com/show/6834/apple-tv-2013-a1469-short-review-analysis-of- a-new-a5

The Certified Refurbished Apple TVs sold by Apple (currently $59) are mostly the FD199LL/A Model A1427 models. Details (and specs) are at http://store.apple.com/us/product/FD199LL/A/refurbished-apple-tv

A smaller number of 3rd Gen RevA devices have also been refurbished and retained their MD199LL/A Model A1469 designation.