I watched Leonard Cohen: I'm Your Man the other day. Mr. Cohen is best known for his version of Hallelujah, which might itself be better known as sung by Rufus Wainwright (from Shrek) or Jeff Buckley. I was familiar with the songs in this movie since they popped up on my late beloved Launchcast station. His songs are great, but I have to admit I prefer them as interpreted by other people.
Here's an example of his singing style.
This is the version of "Tonight Will Be Fine" that was on the DVD as performed by Teddy Thompson.
The movie itself was good. It was partly a biography and partly a documentary about a tribute concert. It's worth a viewing and the soundtrack is definitely worth a listen.