It depends on what you mean by moving!
Vivec's Divination Pool is just a pool, but the water looks like it's rippling when you turn it "on."
Additionally, there are some fountains that "spew"... well, blood, mostly. Here's a link to all the fountains in the game, pictures included.
I do really hope they add some kind of fountain that actually sprays water or something soon, though! Instead of just blood, haha.
Lois McMaster Bujold "A Civil Campaign"Reputation is what other people know about you. Honor is what you know about yourself. Guard your honor. Let your reputation fall where it will. And outlive the ***
Here is a link for an image of the Vvardenfell achievement vendor fountain. I have it in one of my homes and I love it.
http://eso-styles.faerylands.eu/wp-content/gallery/fountains/Tribunal-Shrine-in-Fountain.jpg