Hi schlombust, welcome to CDFreaks!
If you're using a 40-wire IDE cable you should replace it with an 80-wire cable.
You should try some other media, such as Verbatim.
It's also possible that your game CD is protected with weak sectors resulting in CRC errors when copied. There are sometimes ways around this, but you might have to ask the experts in our CD & DVD Copy Protection forum. They'll need more detail such as which game you're backing up.
EDIT: The game would be the title of this thread of course! :doh: :o