
Take the circular thing to the right, this can spin, as long as it's separate to the actual background. We can even make the alpha region remain at the bottom while the logo up top becomes less transparent.
Then, with some small photoshop/gimp/image editing knowhow, I can turn these separate files, into one big animated file in the form of a lossless avi
The text, could shimmer, an easy to achieve task using some ass scripts. Apply it to the avi and hardsub it, again, as "lossless" as possible.
The tickertape is even easier. Render the background without anything there where the text goes, make up a few lines, and using ass script, scroll the horizontal margin at a speed set so it returns to the start at the same time the first frame is due to. (well, -1 frame difference)
Then it's a simple matter of compressing the avi file into gif format and taking advantage of certain properties to allow only the changed pixels to be saved, thus reducing filesize.