I use Meguiars Scratch X (car finish product) to clean off 'shiny' or coated LP covers. One other plus is it perks up the color on some covers. I place the Scratch X on a Viva paper towel. Viva are more like cloth than paper. (the current production VIVA only the full sheet are softer, the half sheet type are now halfway to paper feel, instead of the softer feel of the full sheet product.) Be aware on some covers the Scratch X will start to take the color OFF.
The dull ones I use a Scotch 'storage' packing tape. (this packing tape is less sticky and peels off easy. I slide it over the dirt and it picks up a lot of the dirt. If you use ordinary packing tape if it stops sliding and sticks, it can rip the paper. the storage is way less likely to tear the paper peeling it off.
The most impossible to clean are the slightly fuzzy paper covers.
The dull ones I use a Scotch 'storage' packing tape. (this packing tape is less sticky and peels off easy. I slide it over the dirt and it picks up a lot of the dirt. If you use ordinary packing tape if it stops sliding and sticks, it can rip the paper. the storage is way less likely to tear the paper peeling it off.
The most impossible to clean are the slightly fuzzy paper covers.

