In addition to the link posted by celoyd, you can get access to the full data stream you mentioned by filling out this application form[0].
There are also some heavily processed images from that data available from NOAA[1] - the "Geocolor Full Disk" is the best, it's half-resolution (5500x5500). The green filter on Himawari's camera doesn't correctly capture the green color of vegetation, which is why OP's video looks browner than you might expect. So this product attempts to correct for that by creating an artificial green channel made of a combination of other channels[2]. It also attempts to correct for Rayleigh scattering[3], so this is basically what the Earth would look like if the atmosphere suddenly disappeared (except for the clouds :P). The night portions of these images are a different kind of false color composite: the clouds come from two infrared channels, white are high ice clouds and red are low wet clouds; the city lights are (sadly) just a static overlay from existing data.
And (shameless plug) I've been playing with applying motion interpolation algorithms to these NOAA images to create smooth, high resolution video that can be played much slower. The Farneback optical flow algorithm[4][5] seems to work very well. (Lots of) videos available on my Youtube channel[6], code/details available here[7][8], blog post coming soon :)
Wow. Great stuff! Is there a good way to use one a video at a very low framerate (perhaps 0.1-1 fps) with low resource requirements as animated wallpaper on Ubuntu/Linux?