The funniest experience I had was after the playoff sweep of the White Sox. I was at game 3 (where Carlos bunted past Big Hurt) and the atmosphere was electric.
My friend and I were making our way out of the stadium and went out the back way, by the player's locker room. My buddy looked down the hallway and said "there's nobody blocking that door." I couldn't even say "that's probably a bad idea" before he was off and walking down the hall.
I waited a good five minutes before he came running out. "What happened?" I asked him.
"I just met Stan Javier. We gotta go!"
I looked back and saw an elderly security guard walking out, so we took off.
I've got a pretty good Griffey story, too. My dad's best friend used to be the team's lawyer, so we were hanging out in the press box before a game one day. I was maybe...12 years old. My brother was sitting in the doorway of the press box facing us, not paying any attention to what was going on behind him.
In walks Junior, in full uniform. He looks down at my brother, looks back up at us, and then reaches down with the classic Junior smile, picks him up, and lightly moves him out of the way.
I took a stab and asked him if I could toss a ball or two to him. He nodded, and I had a 30 second game of catch with The Kid behind home plate at the King Dome. Still one of the best days ever.
One final note: My friend from Pittsburgh met Barry Bonds when he was young. He held a ball up for him to sign and Bonds pushed him out of the way. Class.