This is a vimeo channel of other clever analog motion graphics videos, though it hasn’t been updated in a while.
Frax is a beautiful, feature-filled app made by the people who were making fractal lab. You can watch their homepage tutorial video for the app in action and then look at their high quality render samples and user created gallery.
Similarly, here are some fractal flythroughs. I hope a versatile 3D fractal explorer is released some day, with virtual reality support.
Demoscene is a grammatically awkward name describing a genre of programmed art. Demoscene usually showcases the technical prowess of the artist, particularly with constraints on software size (the above program is 4kb!) or hardware capability (every old computing device you can think of).
This is similar, but runs in a browser and does not involve music.