Disclaimer: I was/am a sceptic, but always interested to listen and not a sneerer. I think some of the things we think are supernatural will one day be explained by science - just as electricity and other phenomena have been.
Bear with me - this is hard to explain! My teenage daughter was not a happy person and in her mid teens we had a period of what would be termed poltergeist activity in the house. Lots of things - but the thing that sticks in my mind was, after the events had stopped for a few months, my husband said to me (because he knew how unsettled it had made me) 'Oh well, all that business seems to have stopped'. At that moment a big roll of sellotape, sitting on the kitchen table, whizzed very fast across the flat surface of the table and stopped. We both saw it....
Anyway, what I came on to say was, we concluded that as with most poltergiest cases, it was somehow connected with my daughter, not so much the house. I feel silly typing that - I'm not credulous, but honestly, if you'd seen and experienced what we did, you'd understand.
My husband had some old copies of a literary magazine from the 1930s, The Cornhill Magazine - a very esoteric publication with new writing, now extinct. In one there was a short story called Winterwood by a now-forgotten author (my degree is in Literature and I'd never heard of him - point I'm trying to make is that the chances of anyone knowing of this story are infinitesimal). We both read this story when the children were very little and then the magazines were stowed away in the loft. We didn't discuss it and I would have forgotten it completely except for this event.
When my daughter was about 14 she and my husband were in the living room, both on devices. My husband said afterwards that this story (that he'd read more than a decade earlier) suddenly came into his head. At the same time, my daughter looked up from her screen, looked at him and said 'Winterwood!'. He was stunned, and asked her why she'd said it. She looked blank and said 'I don't know - it just came into my head'.
Not the most exciting story on this thread, but it unsettled us. My daughter is adorable...but I have to say, we've always wondered about her....'powers', as it were! There is just NO rational explanation for that incident, but maybe there's a scientific basis for what we call telepathy.
So sceptics beware - keep an open mind! It could happen to you...