I ran into Muhamad Ali one time in a western store, shook his hand. This was back in 1985, he was buying boots.
I also rode up a elevator once with Neil Armstrong. (I know he is not an athlete), but still kind of cool.
Bill Rodgers started a conversation with me after a race in NYC during the 70's. That's the way he is.
I met my teenage hero Billy Rodgers 2 or 3 years ago at a race. Shook his hand but just wasn't able to speak at all. My wife said she'd never seen me that way before.