Most achingly-beautiful music

In the classical realm, most anything by Mozart. I am especially fond of Piano Concerto 466k in D minor.

The two modern artists, who move me most are Alison Krauss and Norah Jones. When I want to be taken away to a world of wistful yearning, I put on Alison. For meditative relaxation, Norah's my girl.

teardrops in the rain, joe satriani

I don't think I listen to music only to be moved by it. Not always. Sometimes it is to box with the music: to understand the aim of the composer and to judge if he achieved it.
"Giant Steps" is the one that moved me deeply, though.

The Barber and Albinoni adagios
Rachmaninoff PC #2
Canon in D -- Pachelbel
Katchaturian Masquerade Suite
Romeo and Juliet -- Prokofiev
Computerwelt -- Kraftwerk
Everybody's Talkin' at Me -- Nilsson
What You Gon' do? -- Lil' Jon and the East Side Boyz
Get Low -- Lil' Jon and the East Side Boyz
Salt Shaker -- Ying Yang Twins
Still Dre -- Dr. Dre
Some Cut -- Trillville
Still Tippin' -- Mike Jones

Branford Marsalis: "Eternal". Slow paced "beautiful" jazz. Great recording quality. Also, the soundtrack to "Crouching Tiger Hidden Dragon". If you like cello and flute you'll love this one.