There's been a veritable explosion of independent games as of late. Some of them are even quite good. I'm going to go over a couple I've played recently that are really more like interactive works of art than games.
First up is a PSN exclusive called Journey. It's $15 and you can play to the end in only 2-3 hours. I know, that doesn't sound like a great way to sell a game, but Journey doesn't feel like it's shorting you at all. Those 2-3 hours cover an impressive arc of shifting visuals and emotion. There's not a written word to be found anywhere once you enter the game proper, but there's definitely a story being told. The music is also no small part of the package; it's obvious it was given just as much care as the visual presentation.
Journey definitely leans more towards interactive art than game, but there is a game in there with some surprises laying in wait. I can't really say more without ruining the experience, and I'm not sure I could do it a proper description in words. It's something you have to see in motion to truly appreciate.
The other game I've played recently is Superbrothers: Sword & Sworcery. It's $8 on Steam (and also available on iOS), and can be finished in about 6 hours. It's done in an 8-bit side-scroller style, though there are some conventions for modern hardware present. Most notably is the game's headline feature: it's soundtrack. There's no other way to put it... the music is absolutely sublime, and is worth the $8 alone. The game is mostly a puzzler, though it does have a few combat sequences. It's a real trip to play, and the dialog can be pretty hilarious.
I'm enjoying these games, and I certainly wouldn't mind seeing more like them.