I have had funny and weird celebrity encounters. I once took turns with my first daughter and a man and his son at a tire swing at the playground at 70th Street in Central Park on the East Side. We talked for around 30 minutes. He had a hat pulled low and sunglasses. After a while, he suggested our children share the swing at the same time. My daughter had stranger-danger and didn't want to, which hurt his feelings, cause his son was half-black and I think he thought that was the reason she said no. It wasn't.
We had a very boring conversation, in which I blathered on about the upgrades to the playground. Finally, he and his son moved away. My wife walked over to me and said, "Hey, guess what? Robert Dinero is at the playground!" I looked over and of course, that was the man I had been hanging with, haha, without knowing who he was.
I will say that I was really impressed with him, cause people would walk over to tell him how much they liked his movies and he would take their hand and look them in the eye, and tell them how much that meant to him. He was so cool.