I'm going to risk having my head ripped off here by saying that I don't think he's classically handsome. However, classical handsomeness is overrated IMO and dull as ditchwater. Jimmy is handsome in a unique, impossible to define way. I never get tired of looking at pictures of him like I would, say, David Beckham or someone else who's generally regarded as classically good-looking - there's just something about Jimmy that draws you in. Something about his elusiveness, his grace and elegance, his voice and eyes and hair and the way they all come together. He has a beautiful smile as well.
Oh who am I kidding, he's bloody gorgeous.