The only way to remove these cloudy marks is to strip the surface and re-polish or varnish. Alternative Many modern surfaces do not need polishing. Laminates, varnishes and sealed surfaces only need wiping over with a damp cloth. Natural wood does benefit from polishing, but only 2 or 3 times a year. Wood is a living substance and can dry out, especially in centrally heated homes.
Furniture polishes made from natural oils and beeswax are available.
You can make your own by mixing one part lemon juice with 2 parts olive oil or cooking oil. Whenever I am trying to find out how to do something. I always start by Asking Jeeves.