The change in color of the clay and glazes is natural, and no attempt should be made to remove this discoloration. Patina is the name for this change in color.
Lime scale, does need to be removed if possible. Scrubbing pads, steel wool should not be used, as they will scratch the clay finish. Only soft brushes, or soft cloths should be used.
Weak acid baths really help. Key is weak. Strong "plumbers drain cleaners" are far too aggressive.
One technique, for scale that does not come off with a wash in vinegar or citric acid, is to bury the pot in peat. Use a large nursery pot filled with peat. Bury the pot completely. Set the pot where rain will wet and flush through the pot. Key is that it is rain water, with near zero dissolved calcium. This won't work as well in dry areas where you would need to use irrigation water. It may take as much as a year, but slowly, gently the organic acids in the peat will digest away the calcium. For light colored clays the humic acids may stain the clay a slightly darker color, but this color is in the same range as natural patina, and generally is not considered a problem.
Key is to not scratch the glaze or the clay in efforts to clean high quality pots. Also key is to not remove the patina. "Looking like New" is actually contrary to the artistic aesthetic of bonsai. Clean, but old, old as the tree the pot contains is the look that one should strive for.