I occasionally have dreams in which I can fly. For me, it feels like it's just a matter of balancing correctly: I'm still affected by gravity the same as always; it's just that if I really concentrate, I can maintain a pose in which no part of me is touching the ground.

I've only rarely had flying dreams, but the sensation is similar to swimming for me, too. Not using any proper swimming strokes, but it feels like the air is thick enough to move through that way.

Me too! Though one time when I was little, I dreamed I was flying on a blue velvet cushion - straight into the mouth of my little plush fox, who had grown a lot bigger. What made it even scarier was that I knew I was dreaming, but I couldn't wake up.