Wine is not a catch-all Windows emulator (Hence the name: Wine Is Not an Emulator). What Wine does is try to add a simple layer on top of Mac (or Linux, or whatever you're running) that helps a lot of commonly-used Windows stuff in programs work. The important part here is the term "commonly-used." Not everything works as it should. Some things won't work at all. In your case, I'd say that it's having trouble drawing stuff to the screen.

If a program isn't running well in Wine, and the program runs fine in Windows (I can vouch that these do), it's probably an edge case that the people who made Wine may not know about. It's not the program's fault. With that in mind, you may be better off letting the people who made Wine know about it, since they're more in a position to help (And there may be something you can tweak to get the games running with Wine as-is). http://www.winehq.org/help/ is a good resource to look for help.

Or you can, you know, *cough* get a Windows machine.

Thanks for the help!
By the way, does it work with...nevermind .

If WINE stands for Wine Is Not an Emulator, is it technically an acronym for itself? Which would be infinitely expanded? (W.I.N.E.I.N.E.I.N.E.I.N.E...)

There's been a bug filed on the GNU site saying that expanding the acronym (GNU's Not Unix!) too many times can cause a buffer overflow in the human brain, potentially allowing arbitrary code to be executed.