This is a great thread, since I'm a VERY amateur guitarist myself. Neil's Les Paul Deluxe is to me the second most iconic musical instrument in existence--only Paul McC.'s Hofners beat it in my eyes.
It's really great that Neil's become such a bloody good guitarist in the last ten years. I'm not saying he was ever less than good at any point, but he's really been going for it lately. Is there anything the man can't do?