I'm an unabashed Marc Ribot fangirl. I've seen him 30+ times playing genres including rock, funk, classical, jazz, avant-garde, Cuban, exotica and some just plain uncategorizable... and that's just what I've seen, he's also done country, punk, film scores, and pretty much anything else you'd care to name.
I'm sure he'd be the first to admit that he's not the most technically proficient or fast guitarist in the world (he's left-handed but learned to play the wrong way around) but with him it's really about the brain and not the fingers. He has an incredible sense of timing, and fantastic tone. He's a very popular studio guitarist, but the best way to hear him is in a live setting with an electric guitar. I've seen a thousand people give him a standing ovation in the middle of a song for a particularly good guitar solo... the singer had to wait for everyone to calm down before he could move on to the next verse.