Hmmm, it may not be a hardware problem, but a software issue.
In order to protect their software, some games developers put 'copy proof' protection into the CD's. This is especially true of the more popular games. This is put in to stop piracy of course, but does not help people like you who wish to make backup copies of discs you have purchased.
If you are having trouble copying a particular game, it might be worth looking at;
www.gamecopyworld.com
This site shows you how to copy most of the better known games. This usually involves copying the contents of the CD to your harddrive (temporarily), replacing a key file with an updated one, then writing the whole thing back to a CD.
Another option which I prefer to do if possible is use a 'no CD' crack if it is available. Basically this involves installing the game to your harddrive, downloading and installing a particular file from this website. This means that you don't need to have the CD in the drive in order to play the game - hence you can lock the CD's away from little fingers.
This is good for me as I have 3 or 4 games I play and I don't like having to find the original CD's each time I want to play one.
Again, gamecopyworld will tell you if there is a no CD crack for a particular game.
Hope it helps!
757 - Rocket With Wings