In their first lucid dreams, many people will typically want to do the same things. It is common to want to lucid dream about flying, other superpowers, and fulfilling one's desires. I have done those things. It works just like daydreaming, just in full virtual reality 3D.
When we are asleep, our senses are turned down. We don't pay much attention to the world around us, because we are sleeping. This means that everything that happens in a dream happens inside our own heads. This also means that our experiences aren't limited to what our senses can process. I have read lucid dreams where people have had 360 degree vision, where they could follow scent trails, and where they could see and hear from the point of view of two people at the same time.
|Flying and singing in my own private world|
Apart from all the other good sides of lucid dreaming, it is this that makes me keep trying. There is simply nothing like standing on a private world, singing a song you make yourself as you sing it, loudly and freely.