I'm a scientist. A realist. But I know it would be utterly ignorant and arrogant to believe that what we know of science so far explains everything that is real qnd anything we cannot yet measure or explain is not real.
As for personal experiences that cannot be explained, I have a few.
A holiday cottage we stayed in as children. Huge crash in the night that woke everyone up. Like a large piece of furniture falling over. All lights on, everyone awake, nothing had moved.
When I was a child my mother worked in a stately home and took me there and let me roam sometimes in school holidays, in private parts of the building that were normally closed off. There was a corridor on the top floor with rooms off it. If you were up there alone you would often find the doors out of the corridor all slammed and you'd not be able to open any of them or get out again for some time.
There was a house my mother almost bought, for us to move to, and when we were looking around it and she said a certain room would be my bedroom I got chills down my spine and begged her not to move us there. That room was freezing cold and I felt pure dread being in there. We discovered later that two children had been murdered in that room.
Another house that we actually lived in, I would lie in bed and hear footsteps up and down the corridor outside. I was terrified to go down the stairs at night. My brother later told me he heard the same footsteps. One evening I had been out and when I got in late my parents asked me why I had been stamping around in my room all night, when nobody but them had been in the house. Things in that house also used to vanish permanently or disappear for a while and then randomly appear in another room. It was very unwelcoming,
I have a close friend who would never make something up and when a family member had been out, they came home, chatted to her, hugged her, then all went to bed. Then an hour or so later police came to the house and told her this family member had died two hours earlier, at the time she had seen him at home.
When a family member was very young she saw a man being crushed against a wall in the alley next to her house, by horses. Decades later she discovered that long before she was born a man had been killed there by two cart horses that went mad.
One of my earliest memories is of a kind elderly woman and her smiling face. And the dappled light of leaves moving behind her. It turns out that mother often put my pram in the garden under a tree as a tiny baby (in a previous house) with leaves just like that, where a kind elderly lady who loved children had lived before my family moved there. When I started to talk apparently i often asked where "the lady" was.
There is just too much to dismiss, even from personal anecdote. One of my main criteria for choosing a house is that there's no "feeling" of anyone else around!! But most of it is, I expect, just a type of energy that we can't yet measure or detect. Just the same as once infrared or xrays would have seemed "woo" to us. I mean, anyone want to explain what dark matter is? Cern is discovering new particicles! Saying we cannot explain something yet doesn't make it untrue or "paranormal", science has paradigms and I very much doubt what we know right now is the whole of it.