wanbler: Just force VSync by overriding application settings with your videocard driver app. Works fine for Radeon card.
Lemon_Curry: Will someone please explain exactly how this is done so that it only applies to this specific game and won't interfere with anything else?
If you have an ATI card:
You need to open your Catalyst Control Center (you can access this by right-clicking your desktop, and finding the appropriate option on the menu that appears) and then look for the "3D application settings" button (usually listed under "gaming"). There should be options for lots of things, including forcing Vsync. I forget the EXACT sequence here, but I think you simply choose to force Vsync and then hit the "save profile" button. It will ask you which .exe file you want to apply it to. Go find the .exe for Anachronox and choose it. Should now force vsync every time you run Anachronox, but not for other games. If my instructions here aren't exactly right, you should still be able to figure it out from that screen in the Catalyst Control Center.
NOTE: You may have to switch Catalyst Control Center to "Advanced" mode to access these options.
If you have an Nvidia card:
Open the Nvidia Control Panel (same method as for ATI). Go to "Manage 3D Settings". In the window that appears, click on the "Program Settings" tab instead of the "Global Settings" tab. At the top it will say "Select a program to Customize". Hit the "add" button, find the .exe file for Anachronox, and choose it. Then, scroll down in the box below until you see vsync and switch it to be always on. Then hit "apply". Anachronox should now force vsync every time it runs, while other games will not.
Alternatively, you can force vsync globally (i.e., for every game) and then turn it off when you play other games. But that is annoying.
To check if it works: the best way is to get the free version of FRAPS and use it to get the frames-per-second overlay while playing Anachronox. With vsync on it should never go higher than 60, with it off it can go to very high numbers (too high for your monitor to display).