NOAA View Data Exploration Tool
nnvl.noaa.gov
nnvl.noaa.gov
Were I to grab a projector and a hemisphere screen, I'd probably just reproject to azimuthal (or maybe even conformal), point the projector at the screen, and hope people don't pay too much attention to the very edge.
My understanding is that this system has become very common for museums showing space or earth science content. It is a neat format to use, and individual museums can set up their own controls for setting up individual animations, creating playlists, and setting up controls for manually operating the system if they use it in shows or presentations, etc. If you have your own data you can put in up on the SOS; we were always looking for the cool things that noaa and sometimes other museums would put up.
Because the network is aimed at a technically and scientifically diverse community community the data catalog is actually well organized and mostly easy to understand. I'm continually telling data viz friends to check out the resources in there for their non sphere projects:
http://sos.noaa.gov/Datasets/index.html
Fun fact: NOAA just installed the 100th SOS system.
I can't get this to work (Chrome and Firefox)... I get a lot of 404s, 'Image corrupt or truncated', and TypeError: document.GetElementById(...) is null errors in console in both browsers (wording differs, of course)...
I will check back later on as I LOVE the NOAA and use them as my goto for most things weather and environmentally related! I'd really love to play with this going forward!
It's more focused on Earth sensing data products, but it has great satellite imagery and overlays.