From Greg Fahy's wikipedia article:

In the summer of 2005, where he was a keynote speaker at the annual Society for Cryobiology meeting, he announced that Twenty-First Century Medicine had successfully cryopreserved a rabbit kidney at -130ºC by vitrification and transplanted it into a rabbit after rewarming, with subsequent long-term life support by the vitrified-rewarmed kidney as the sole kidney.

Here's an abstract of the relevant paper with a link to the PDF.

I knew it had been done but I linked to the wrong abstract in my original post.