Got this idea from a post on that Headcanon thread a few days ago, about the music tastes of Nightwing, Doom and others. But making it Sup Forums only is pretty boring, so I figured I'd cover a wider area (films, shows, games, etc, etc).
Anyway, post a character and what they'd watch/read/listen/play. If you can support stuff through canon, it's even better.
So, I'm going with Stark first.
>Books
It's canon that Arthurian stuff are his favorite. Going from that, and ignoring Gillen's stupid retcons, he probably likes Tolkien's works. Maybe some sci-fi stuff as well, like Asimov since he was into robotics since a kid.
>Music
Classical is pretty much given, considering his mom was a socialite. Howard most definitely was a Sinatra guy and it probably rubbed off. Growing up, I can see him getting into stuff like Journey, Scorpions, Sex Pistols, all that jazz. Daft Punk would be his No1 purely based on aesthetics. Maybe some Leo Cohen when he gets all depressed and sad (and that's too common).
>Games
With the slidding timescale and all, I like this headcanon of him playing Metroid and Waifuing Samus. Apart from that, dunno, the 1st Deus Ex? Maybe Portal or Vanquish from recent stuff. I really doubt he has the time to play anything.
>Films/TV
Excalibur, surely. Probably old-timey sci-fi stuff, back when they were still whimsical and fun instead of filled with unintelligible jargon. So Classic Who, Twillight Zone. Star Trek: TOS maybe.
So, pick one and go to town.