There's this site going around (but it's hard to tell how old it is) called Cute Things Falling Asleep (dot ORG). It's extremely self-explanatory. This is my favorite, and at nearly a million views, this kitten is more famous than, like, the guy who played Gunther on Friends:
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What scares me is the number of those I'd already seen before. (Via Young Manhattanite.)
