Jim Martin, Governor of NC (1985-1993).
Met [link|http://www.itpi.dpi.state.nc.us/governors/MartinJG.html|Jim Martin] at a party rally, shook hands and had a few brief words. He was still the US Congressman for my district at the time and running for governor. Got a few Christmas cards from him. That was in the days before the religious right took over the Republican party.
[link|http://sportsillustrated.cnn.com/basketball/nba/news/2000/01/18/phills_folo_ap/|David Wesley] of, at the time, the NBA's Charlotte Hornets. I met him just before the Hornets left for New Orleans. He lived up the street just a few doors away in a new neighborhood (with houses 2-3 times as expensive as mine). I'm on a corner lot and he would cut the corner in [link|http://sportsillustrated.cnn.com/basketball/nba/news/2000/01/15/wesley_ap/|his Porsche]. I was walking the dog (that Boxley wants to steal :)) and Wesley's kids and wife got excited about it. So, I went into their yard so they could meet and pet the dog. Cute kids and outstanding looking wife! David came out and said hello.
Stretching mightily the definition of meeting, I was close enough to touch Princess [link|http://www.who2.com/princessgrace.html|Grace Kelly] and [link|http://www.who2.com/rainieriii.html|Prince Rainier] of Monaco. It was at the Boys' Club of New York where I, (still in high school,) had a part time job in the evenings. They had been married a year or two at the time. I remember thinking how short they both were. At another time, in this same location I got to see, again close enough to touch, [link|http://www.campusprogram.com/reference/en/wikipedia/b/bu/buster_crabbe.html|Buster Crabbe] who played Flash Gordon and Buck Rogers in the movie serials as well as Tarzan in full length movies. Having been an Olympic Gold winner for 400m freestyle swimming in 1932, he was a guest of honor at a swim meet.
Another long stretch is [link|http://www.liberace.com/bio.cfm|Liberace] at [link|http://www.durgin-park.com/|Durgin Park] restaurant in Boston. He and his entourage were at the adjoining table. My wife was impressed.
