Other than faint? I really don't know. I remember when I worked at Disneyland and he came to see Pirates of the Caribbean ride. I looked for him but couldn't see him. I even had a special event that day for some french actors (but sadly Johnny Depp wasn't with them).
I'd probably tell him to release Cry-Baby on the West End or something and ask for a photo and autograph. This man is my idol! Every film he has been in is completely different and he plays all his characters to perfection (ok, he has a slightly dodgy accent in Chocolat and From Hell, but that'll come - anyway they're not set in the modern day!) He can do anything from Edward Scissorhands to Jack Sparrow; Donnie Brasco to Cry-Baby and Gilbert Grape to Raoul Duke.
He is THE man!