I have a few experiences I could put under cathegory supernatural.
The first was when I was 12. The christmas was coming and my brother had gotten sledge as birthday present. It was big enough to carry 2 people so I as older brother was steering it and he was sitting front of me just riding. Our home was atop of the hill and we ride down the icy road again and again. Our neighbour down the hill though have done some ice removal front of his home and there came time we ride straight trough that spot that didn't had ice. My bro managed stay inside the sledge but I wasn't so fortunate and next moment found myself flying. I raised my arms to little bit protect my head for coming impact to road, closed my eyes and suddently felt landing on my belly to somewhere soft. The feeling was heavenly. I just laid there for a moment until I came to thought that I will get wet for laying in snow on my belly so I opened my eyes, but instead of snow I was maby little less than 1 meter in air floating there still and when the fact hit me the feeling of softness disappeared and i fell unharmed to my belly to hard icy road and saw my bro was sitting on the sledge 10 meters front of me.
Another case happened maby month ago. It was evening and I was very worried about my friend. I prayed for her and suddently I recieved a text message from her.. or not her but someone who had found her laying on the ground on a pool of blood. That resulted converstation where I told who she was and the guy who found her gave her some first aid and called ambulance. When my friend 4 or 5 hours later came back consious in the hospital and recieved her phone back from this guy he told her to pray God and said Goodbyes. Next day wife of this guy contacted my friend and we learned that she had widowed about week ago. when we summed up all the info I came to conclusion that it was really angel who pretended to be this man (don't ask why) and he saved my friend.
About demonic experiences: For me still one of the best ones happened in high school. There was girl as my classmate from thailand and she had (as I later learned) personal seer demon. The girl was very flirty and once I found myself in situation where she took my hand starting to examine it. I wasn't exactly sure what she was up to but took it as flirting until the moment where I saw on her face that something wasn't right and immediately after that her demon started to talk to me: "your future is hidden from me, and I cannot go back to her empty handed. Whatever you wish I can (perhaps) grant to you so, WHAT do I say to her?" The tone of the question sounded shame and desperation. To me it was hilarious but I was cautious. I gave ansver I knew 99,9% impossible to happen... what kind of girlfriend I would like to have. and this girl told my ansver to me.
this topic kinda tells what else I have in this realm experienced.
http://christianchat.com/christian-young-adults-forum/50272-door-many-have-kept-shut.html