These two about flying ring a bell:
I grew up having really vivid dreams of being able to fly -- taking off from the ground and pointing myself to go up past the trees and float closer to the ground. They were so real that I believed them, and walked around all day thinking I had this secret power no one else had and that it was really special. Only as I got older did I realize that I must have been dreaming and wasn't really flying. If I had been dreaming something less obviously impossible, I probably would never have realized that my dreams weren't real.
I remember flying. It was awesome. I definitely wasn't asleep or dreaming. I would jump off the couch and fly across the TV room - father than anyone could have ever possibly jumped. I wish I could figure out how to fly again, now that I'm big.
I have very strong memories of... not
exactly flying, but more... sort of floating/levitating, as a child. The memories are from multiple different occasions, and I have had dreams as an adult in which the memories appeared, but more like dreaming about
remembering it than actually dreaming about doing it. Basically, what i remember being able to do is run along, jump and then sort of "coast" along above the ground, without actually needing to touch the ground. I would occasionally touch the ground with one foot and then "coast" along again (kind of like using the pole when punting), and would cover great distances like that. Occasionally i would go further above the ground, high enough to clear low walls and fences, but probably not higher than 3/4ft or so.
The strange thing about these "memories" is that they are totally isolated, ie purely about travelling in that way, along a street or through a park or whatever, yet not linked to anything else like the particular place i was trying to get to. My theory is that the origin might be in very early childhood (when i had just learned to walk and run), running along and my coat being "caught" like a sail by a strong wind which might have taken me off my feet for a few minutes - perhaps combined with my amazement when i first "discovered" running at how much faster it was and how much less touching the ground it involved than walking.
There are also a lot of things from early childhood which i'm not sure if i actually remember experiencing them, or only being told about/reminded of them...
Then there are the dreams i had in which i saw (very mundane) objects which i am certain i never encountered in reality until several years after having dreamed about them, but that's a separate story...