Note: This technique creates not merely a 3D-like globe, but an actual stereoscopic image when viewed with 3D red and blue glasses.
Using surface textures from NASA and a bump map from another online source, I created a fully rotatable, 3D globe of the Earth in Photoshop CS4 Extended. It can be viewed or lighted from any direction. There is also a separate cloud layer I can turn on, edit, and move around. My master file is a very large image (6000 × 6000 pixels), more than ample to fill a full spread at 300 ppi.
Photoshop CS4 also has built-in features for creating red-blue anaglyph images. Below are a couple sample images I made. You will need a set of red-blue 3D glasses to view them correctly (you can also make your own glasses, using markers or red and blue transparencies you may have — or request a free pair (alternate link)).

This is the second version I made, with clouds added:

The 3D features in Photoshop CS4 Extended are a little tricky to learn, but once you get the hang of them, you can do some pretty amazing stuff.
It’s amazing the things you do on your comuter! How do you get it to rotate? And what does “anaglyph” mean?
To rotate it you need the original file and the software, which costs about $1000.
Anaglyph is explained here: http://en.wikipedia.org/wiki/Anaglyph_image