My friend Bob Deutsch has the best celebrity-encounter stories ever, even better because his took place from the early '60s through the early '80s. He always had a special attachment to Carol Burnett, taking her picture many times on the street and at various shows, and even being asked into her apartment once to gift her with some baby items right after she had given birth.
As he explains above, when he was invited to go backstage last night in NYC at Carol's one-woman show (I saw it again—still great! Plus she sang a few bars of her theme song at the end and talked about her Twilight Zone), he was able to get a photo with her 52 years after the last one.
I love stuff like this, and I think Carol Burnett has to be the most accommodating and fan-friendliest celebrity ever, no? Then again, Bob's such a mensch I can't really imagine any star turning him down.