I found a awesome video that shows you how to remove scratches from a DVD. All you need is a bunch of stuff that you can find around your house. Check out the embeded youtube video that was published by householdhacker.com. What they used in this video is.
1) 1 tablespoon peanut butter
3) Diet Soda (must be sugar free or seltzer water)
4) Plastic container
5) Baking soda
6) Lots of paper towels
Be sure to read their Disclaimer on youtube and their website before you try this. Try it at your own risk. They are not responsible if you damage your DVD or CD.
They have more videos like this. You should check them out.