Right, I am a bit of a rogue here as I did not perform great in my Piano lessons, ending up living with my teacher 30 years back (Hi Trish), but have a great love for Piano recordings, especially on vinyl, both classical and Jazz. There are about 6000 in the house. I can't have a favourite pianist, I love thousands of them, including loads of those mentioned on this thread. Also what you like in performance changes. In the 1980's I hated the tone of Fou T'song, now I find some recordings of his magical. While I write I have the 1985 Horowitz Studio recording on and they are full of magic, and before that I listened to John Clegg in the Scriabin Op 11 Preludes which I would guess date from about 1971, again exceptional. I think I should nominate Lisitsa for the living pianist today, as this is the actual day (Oct 7th 2013) she releases her Liszt lp on analogue vinyl. A momentous occasion for vinyl lovers like myself. In Jazz, we lost a great one recently in Esbjorn Svensson. Alongside Jarrett and Bill Evans, the holy trinity of modern jazz pianists for me.
Also a special mention for the Hyperion Romantic Piano Concerto Series, for being a revelation regarding repertoire in wonderful accounts.