errors such as this tend to stem from either failing harddrives, or damaged installation media. Ram and cpu also enter into the equation, but if it's just those two titles, you might want to take a look at getting them resurfaced..
It's only those two titles so far. I haven't really attempting putting anything else except Return to Castle Wolfenstein and Grand Theft Auto 3, which both went in fine. I wouldn't see why the disks would need resurfaced though when I can install them on several other computer with no problems at all. Besides, both disks have perfect looking surfaces to the naked eye... Infact my brother had just purchased Battlefield 1942 a few weeks ago and this is only the forth time it's been used.
If it still borks, see if you can manually extract the files from the disk and compare them. Try replacing the affected file manually.
I attempted to go about it that way, I also tried using a virtual CD-Rom. Neither of which worked.
If nothing works I would suspect a bad memory area in ram. You might even try a ram checking utility. If you're OC'ing then shame on you, otherwise make sure no jumpers are mis-set on the MB, try re-seating the RAM in different slots, or removing all but 1 module and change slots, then test the other one, repeat, etc. Reinstalling drivers might help also.
Well, I guess it's time to play around with the RAM then...