I haven't played the gog version much, I just started the first level.
As far as I know, I got only the glitches in the menu (colors and mouse lag), but ingame was everything fine.
I tried then a fix from the gog forums and I got normal colors and fluent mouse controls in menu.
But ingame the colors were messed up.
So I wanted to re-download the game and play it without any fixes. But I didn't get to it.
I will start the download right now and I will post my results.
Did you had configured someting with the game or did you tried to play the game without any tweaks?
EDIT: Everything works fine. Started the game via GOG Launcher after installation and the desktop exe, both as admin. (D3D Versions)
Sounds is a little bit messed up, mouse lag in the main menu exists. But I had no colors issues. I got them only back then, as I tried to fix the mouse issue.
Take a look at this thread, does it help you?
http://www.gog.com/forum/populous_series/severe_graphical_glitches_sound_stuttering_and_mouse_lag EDIT 2: Here my system:
Windows 7 Home Premium 64bit
Intel Corei5 2500K @ 3,30 GHz
Nvidia GeForce GTX 560 Ti
8 GB Ram
What graphics card do you have?