My Dad had gone through a couple of those Shuttle "Mini" computers (the motherboards were Flex-ATX, slightly bigger than Mini-ITX and obviously needed to be smaller than micro-ATX), so I thought the NUC (between Nano-ITX and Pico-ITX [1]) might appeal to him. They both died and he's currently using a standard desktop. I believe one or both of his Shuttle's died due to a PSU failure, so it's nice to have the external power brick on the NUC.
He and my Mom had previously been using a Windows Media Center desktop with a tuner card and Comcast cable, but they're using DirecTV boxes on all the TVs now so not much need for a HTPC. He said he was thinking about trying to use the NUC with Windows 8 and a touch screen somehow...Not really sure how he can accomplish that. Besides introducing him to Linux, I was thinking he could use it on his TV as just an alternate computer and wanted to show him how to use Synergy to control it with his desktop keyboard/mouse. He's currently switching his TV between the DirecTV box and his desktop as a second display.
At the very least it's a backup, and he could potentially take it on trips as a more powerful alternative to a laptop. There's just so many different options for computing these days. It's like information overload, but with hardware.
[1] http://www.anandtech.com/show/5800/slimming-desktops-down-in... (existence of Nano-ITX and Pico-ITX pointed out in the comments)