I had the same problem, I did as follows:
Get Scotch Brite pads,
http://www.instawares.com/scotch-brite-light-duty.mco98.0.7.htm?LID=IWAMZ&ci_src=23393768&ci_sku=MCO98
Cut a small square 25 x 25 Mm, put the platter on a flat surface, kitchen table, your wife will love this, to the pad ad some liquid soap, normal housecleaning soap will do, now rub hard following the polished circular pattern on the plate, keep wet with the soap, when the pad is medium gray on the used side, turn around, when bouth sides is used take a new one, finishing the outer part, clean with hot water, not boiling hot, use a dish brush to get of all residius. Dry check if not nearly clean go one more time, there may be some small differences in the surface, but thats OK, do the rest same way.
Now get some car polish, medium, or fine, I used medium. In a small bowl mix a little water with polish, cut a small piece of your T-shirt, dip in the mixture and rub as before, keep it wet, clean with dish brush, hot water and dish soap. Dry with towel and let dry totally, check if you like it its OK.
When the platter looked OK I took a small amount of Silicone grease/oil lubricant and with a small pad of folded kitchen roll I rubbed lugricant into the platter, and at last rubbed with clean paper untill paper came of clean. All in all some 1.5 hours work, and let your wife clean the kitchen.
Here the result, the black paint missing was missing before I started.
Beosound 3000, BL 4000, BL 8000, BG 2404,BG 5000, BG CD50, Beocord 5000, BM 901, BM 2400, BM 4000, BV S45, BV 3702. There is nothing we cannot do, but a lot of things we don't want to do!!