I have a list of experiences really, admittedly a short one, though none exactly like what you were describing. One comes close, but I'm not bringing it up just yet. There is a big one I never really told anyone about because it sounds hard to believe, bordering on mysticism, or even a psychotic break, and after you read it you'll see why I am reluctant to post it. Frankly, sometimes I don't believe it, but it honestly did happen.
It all started some time last year, the exact date is hard to remember but thanks to the events it wouldn't be hard to find out. I had a particular interest in getting closer to God. I don't know where it came from, but I had. Anyway, after some thinking I ended up praying for prophetic dreams.
Well, I got what I asked for.
That night I dreamed about Obama giving a speech involving his plans for Syria and their weapons. I didn't remember everything from my dream, but every part I had synced up, down to my thoughts watching it. However, this isn't the impressive one to me
Another night that week I remember dreaming about watching Avatar the Legend of Korra. Dreaming about watching a particular episode of a television show isn't out of the ordinary for me, so this isn't weird. Many times I'll only know what show it is by just sort of knowing, if you have ever paid attention to your dreams I'm sure you know exactly what I mean, this is because the characters and location have nothing to do with the show. This was one of those times. In the dream some guy lived in a shack in the woods with two other men, one of which was old and half-tree. Doesn't sound a bit like the show, so when I woke I just forgot it, like my normal dreams.
I think it was the next day I just happened to notice a minimarathon was on Nick. I hadn't seen a single episode of Korra since the ending of the previous season, or anything else on Nick since then, but I ended up watching. So what came on one of the episodes? Yeah, do I even have to say it? Dude living with two other dudes, one was old and part tree, in a shack. Yeah... turned out it was a flashback to something that happened long before the series happened. The one with Obama wasn't as big deal, since it was all stuff that could easily be predicted. This one I can't rationalize away. There was honestly no way I could have known, I promise you that.
I know, I wouldn't believe it either if it didn't happen to me. I'm a natural skeptic too. I am blessed, I screwed it up later on (story for another time. If you want you can PM me.) It really was an amazing experience that has never happened again after that.
But what is more impressive to me was the feeling I got when I prayed for it. I've only felt it a handful of times in my life. I don't know how to describe it exactly, like euphoria is the best I can give. I think its feeling God, or a "yes", or I don't know. But its amazing. This feeling is why I have such an obsession with prayer. I don't know how I can get the idea of what it is across, but if you have experienced it before than you know exactly what I'm talking about.
I have some other stories I can post if you want, but I have had a long week (with college work and a death) and a long day (hung out with some friends and did some homework) so this is it for now. This was just by far the most impressive and the biggest deal personally.
It also gave me some insight too. After this experience, I am at a point where the existence of a higher power is logical and reasonable, and since I interacted with it through Christian prayer and a longing to be closer to God, there are very few other possibilities (I doubt it was Vishnu, for example). So really it is my logical mind that says God exists. My doubts are ultimately irrational. However I still have plenty of them, if not more then before (no, wait, definitely more lately). When people and the Bible talk about how disbelief is a natural part of being human it is like saying inertia is a property of matter or gravity is a fundamental force of nature. It is an absolute and unavoidable truth, even it isn't immediately obvious.
(Note: I'm not encouraging Mysticism. Typically this stuff isn't for the right reason, it involves treating God, an intelligent being with a personality, like a tool. The motivation is always questionable. I've tried to recreate the experience with failure each time. God has his own agenda, I was blessed and am thankful for it, and my many attempts I mistakenly made to force it to happen again were a horrible idea that I feel have more damage then good, and feeding any doubts I have. When selfish motivations become part of your prayer you are NOT glorifying God. Don't make my mistakes.)
(Note 2: Yes it was a kids show. Yes that is very weird. At least it was something I would actually watch.
)