There are plenty of different styles of dancing. Ballroom, classical (which may just be ballroom), line, street, tap, morris, break, and probably even some more too. For me though, whenever I think of dancing, and whenever I talk about it, I mostly mean classical and ballroom. When I say I want to learn how to dance, I mean I want to be do things like this.
I absolutely love that scene and that movie. I've only ever seen it once though. I saw it with my ex, and I think there are too many memories contained within it to watch it again. However, that doesn't take away how fantastic that scene is, and the dancing therein. Plus the awesome hotness of David Bowie. Those tights aren't stuffed girls and boys.
I would also like to share another scene. This one is from the cartoon series Avatar; The Last Airbender. It's the scene in the third "book" (what they called seasons/series') where Aang and Katara dance. It's more of a choreographed fight than an actual dance, but it still looks amazing. It was actually watching this scene that inspired me to make d "dancing".
That is the kind of dancing I would love to do, and one day will. For now though, I can always imagine. Plus I'm actually not too bad anyway thanks to seeing things like this. However I have no imaginings of being actually good. I just know how to hold someone and how to twirl with them. Which for me would be enough, but hey, you can't show off like that, right?
PS I hope neither of the clips is blocked by copyright. If they are then I advise you to search for them yourself.