The Dark Invaders tutorial that comes with DarkGDK uses animated sprites among other things and is a complete "space invaders" style game tutorial, where you will create, basically, a compelte game.
You can find the tutorial in PDF form in the DarkGDK tutorials folder, or you can look at the DarkGDK forum stickies and get a link to same tutorial presented as a short video series, which offers much better explanation for a beginner than the straight PDF tutorial.
For animated sprites specifically though, you need to call some commands to set them up properly, either the Dark Invaders tutorial(for game usage of animated sprites) or the "DarkGDK Beginners" tutorial(which shows you the basics of how to setup a simple animated sprite of the earth and set it rotating) would be the place to look.
As a last option, if you cant get any satisfaction or what you are after from the tutorials(which assume a moderate knowledge of c++ in regards to program structure and data usage etc) searching through these forums might land you a user written tutorial or some useful hints and tips.
If it ain't broke.... DONT FIX IT !!!