Clean the Air While You Clean the House
Scuff Mark Eraser
Buff Off Heavy Grime
Pick up some polishing compound at a home center or an auto parts store and use an auto buffer to polish off the offending scum. If you don't own a buffer, you can buy one for as little as $20 or borrow one from a gearhead friend. If possible, remove the doors and take them out to the garage to avoid messing up the bathroom.