Hi Stefan,
Now I've run into the next problem: Any call to glBegin(GL_Something) crashes in the libs of my OpenGL driver(ATI fglrx) due to some NULL pointer access[1]. If I disable Hardware Acceleration, the crash doesn't occur and Empire Earth starts up to the Main Menu more or less successfully: It only shows a black screen, but it reacts to keypresses(Sounds are playing, I can take screenshots with the in-game Screen Shot Funktionality[2]. A +ddraw log can be found at http://www.doesi.gmxhome.de/ee.out.bz2
Perhaps you should try upgrading your fglrx drivers. They released new ones a few days ago.
James