I don't believe in much, but i have seen some weird things in my time. When i was a kid, my mother's best friend was dying of cancer. We lived in this house in Montreal for about 4 years and there was some kind of bush in the front of the house that was supposed to flower, but never did. My mother's friend told her that when she died, that bush would flower for her. Sure enough, when she died, that bush flowered with these pink flowers that littered the lawn and did so every year after that...we only lived there 6 years, so i only saw it happen a couple of more times. There may be an explanation for that, but it was interesting.
More recently, i've lived in my house for 10 years now. My ex-wife used to ask me why i'd unlock the door to the second floor balony...i never touch that door, but she would lock it all the time and it would somehow unlock when she'd check on it...it was only the two of us in the house.
The ex-wife bought a piano for 100 dollars that was found in an old barn. My dog would not go near it. If he was by the door, i would call him and he would not be able to go past the piano, even for a treat (and he'd kill for a treat) I had to go sit on the floor and hold him and slide over past the piano...then he was fine....happened for about a month. Yesterday, the new girlfriend was over with her dog...her dog was barking at the piano like a psycho...she was very confused as it is not like her...it's been 3 to 4 years since the incident with my own dog.
Lastly, there are times when i turn off my tv and surround sound, walk halfway up the stairs and the tv turns on again and i have to go back downstairs and turn it off again....three days ago, i was watching a movie with the girlfriend and the sound went off...the surround sound shut off and had to be turned back on...that happens a few times a year and we were both sitting still on the couch watching a movie.
I'm sure there is a logical scientific explanation, but who knows...