The potential interest is that you can use an MHL adapter to mirror the Xperia's display to a TV. Given it's running at 1080p anyway and has a fairly beefy graphics chip, if you hook an Xperia Z up to a TV and use a bluetooth controller, you've got a home games console with a capability not far off that of an Xbox 360 or PS3. Doesn't have quite the same level of games of course but the fact is there are now a lot of pretty decent games for high-spec mobiles. I wouldn't take it over a 360 or PS3, but it'd make a pretty reasonable substitute.
For about an hour until the battery ran out, anyway

. Actually no, now I come to think about it. The MHL adapater I use requires USB power to work, so it would charge the phone as you were playing a game. Be better if you could do the whole thing wirelessly in the style of airplay mirroring but I think that's only available if you have the right sort of Sony smart TV.
Jon