I can start with mine. Back when I was 5 and was living on a farm in Ternopil, Ukraine with my Grandparents for the first time I happened to see some man standing in the bottom of the basement. He smiled at me when I saw him and then when I looked again he was gone. I didn't feel particularly scared because I didn't know who it was, and probably more because of the smile. I went upstairs to ask my Grandmother about it, and she said, "Ahh, don't worry, that's just Boris"
I really didn't question much because I was a quiet child, but then my curiosity grew, so I went down to the bottom of the basement, next to the boiler again, and saw him again, only this time more clearly. He seemed to be wearing some sort of sailor uniform (However, I didn't know what a sailor was at the time) and I approached him. He seemed to hear my footstep and turned around to see me again, and he waved at me, and disappeared again.
He didn't show up for another week, but my parents told me the story behind him. They didn't really know why or how he showed up here, but he seemed to do no harm at all. In fact, he was pretty friendly. They said he'd just show up randomly, and appear to be doing some laundry or something. They just named him Boris as a sort of pet name.
The coolest experience I remember with him was when our heater wasn't working, and my grandfather didn't know why. So then I went down again to the basement to see Boris crouched by the heater and he appeared to be fixing a leak or something. A few minutes later, the heater was working. Then again, he turned to me, smiled, waved, then disappeared.
A year passed and Boris just showed up randomly in the basement room, and he was always quiet. I don't think I've ever heard him actually step or say anything. Another year passed and my mother won a green card and we moved to America. My grandparents still recall stories over skype about Boris, and it's still very cool. I hope to come back at some point and still see him waving and smiling at me.