I'm a big fan of Leonard Cohen, though I came to him late -- one night I was watching Austin City Limits, this old guy in black came out and sang, in a voice to put Darth Vader's to shame, The Tower of Song, and I was riveted. I went out next day, bought CDs, and discovered after hearing them that there were all kinds of people who have covered his music.
Recently, Cohen was inducted into the Rock & Roll Hall of Fame, and I watched that. After an acceptance speech that included reciting verses from The Tower of Song, which I found touching, Damien Rice came out, and with an acoustic guitar, played one of Cohen's most covered tunes: Hallelujah.
The song is about lost love. I don't get choked often listening to music, there are a few pieces, and this is one of them. I thought this version was especially evocative.