What game is it? They usually have no-cd pathces all over the web (not sure if this is forum safe...)
I had this problem trying to run Thief 3 off of a backup cd (the original is broken) as far as i can tell there is no way to bypass this, the encryption/security is so good on the original i can't get a legit burned CD off of it. this is only for my game though...a less secure game willl probably have been exploited by now and there might be an easy .zip patch on the web that allows you to run it. Google is a good start...