I think it was called the Graveyard? Hold on, googling...
Yup, check this shit [http://tale-of-tales.com/TheGraveyard/].
Not sure if it can really be called a game. You control (in the demo) a very slow moving old lady, who walks around a graveyard, listens to some music, then leaves. Also, the buying of the full version is genius. It costs $5, and the only thing that it gives you is the possibility of death by heart attack. It's weird.
But, tale of tales other game charmed the FUCK out of me. It's a mmorpg screensaver, where you control a deer with a human face in a beautiful forest, full of other users. You can't talk to each other, only communicate with other deer through your magic and dancing.