I know it's not an animation, but I've got 2 boot logos and 4 wallpapers for now. I've got some videos to make animations from, but it may take me some time to figure out what looks and sounds the best. Do you have a preference for what season's opening theme you prefer? I was just going to do the latest otherwise?
I made the 2nd one from a background, tardis pic, and logo from the official website. The last 2 are from a Deviant artist, ~DISENT, who did an awesome job; with the last one, I added the Dr Who logo.
Click previews or visit the wallpaper gallery link in my sig.
Both boot logos are in one archive.