I've tried many of the suggestions here and prefer (above all) Novus #1 Plastic clean and shine. I know it's supposed to be for plastic and Plexiglas but it works miracles on album covers. Removes dirt, fingerprints and restores brilliance and shine WITHOUT the finish looking "fake."
Try it, I've been using it for 15 years and zero problems.
Try it, I've been using it for 15 years and zero problems.