I realise this doesn't really count (well, it does but you know), but chess. The rules are straightforward and it has infinite replayability. And you can play a game online any time you want in an instant.
Other boardgames I enjoy are Arkham Horror and Twilight Imperium, though I haven't played either in a while.
This was a fantastic episode. One thing I liked in particular was that they had an actual lawyer defend Una, and not just have Pike do it.