re: My NCAA 14 sadly broke. Time to get a new one.

Find a place nearby you that has a CD buffer they'll let you use, usually for very small fee.

Used game stores almost always have them, because they use them a ton to buff up games people trade in. That's where I went years ago to access one and it totally fixed a game I had that was horribly scratched. If there are used game stores around you, call em up and see if they offer polishing as a service. Even freaking Gamestop's may have them at this point, since they do so many trade ins.

I also remember hearing once many public libraries have them, or you can probably find some mom and pop electronic store or something.

The buffers really are amazing, there almost isn't a scratch they can't fix. I can guarantee it would fix your disc.

There are also DIY polishing kits and methods, but those may not be as effective but worth a shot if you can't find a legit buffing machine to use.