I'm having the same trouble as Citybug711. I have never been able to run Civ3. The intro movie runs fine, but the primary screen (New Game, etc.) looks funny: there are what looks like multiple lines of text overlaying each other (rendering them all unreadable) near the botom, and the buttons and their text descriptions seem misaligned. If I choose New Game, it takes me to the options screen (land mass, etc.), where once again all the text seems misaligned. Clicking the circle to start the game causes the oh-so-tautological error message ("Civilization 3 has caused and error in civilization3.exe").
I'm way over-spec on requirements (1 GHz AMD CPU, 256 MB RAM) and my drivers are up to date. I'm patched to 1.16f. I do have several pieces of hardware noted (negatively) in other posts, though: VIA 133 chipset, SB Live. I'm running Windows ME.
This is the first game I've ever had any trouble with, and I review games (so I play a LOT of them). A dubious distinction for Civ3, to be sure.
Any assistance would be greatly appreciated.