If you want to head over to the Tech Forums, start a new thread and post the result of CoH Helper, one of the techies that haunt those forums should be able to give you some help. Sounds like a possible driver issue to me. That program will tell the players in that forum about your relevant drivers and settings so they can help ya out. You could also open a Support ticket with NCSoft and see if they can help you out.
Thanks! I'll try that. 
Did you install the latest drivers for your video card AFTER installing Windows 7?
So. Nuked my computer and updated it to Windows 7. Everything [except CoX] runs fine. I just fired up CoH; the first time, it crashed before I got to the login screen. The second time, I made it on, but the graphics looked horrible. I fixed the screen resolution and restarted, but it still looked terrible. The world was extremely dark, but my character, the pedestrians, and the cars on the road were all in bright and gaudy unshaded colors. (I'd link a screenshot, but for some reason I can't take screenshots of games with Windows 7.) So. Anyone having the same problem or is it just me? Am I doing something wrong or is this Windows 7? And is there a patch out that someone can direct me to?
Thanks in advance for any and all help received.