One of my former employers used Rahn surface plate cleaner paste, which sold for around five bucks (IIRC) per one-pound can in the early 1980s. I thought the Rahn paste cleaner worked exceptionally well, but also noticed that it smelled, looked, felt, and tasted (yeah, I tasted them) like one of the waterless hand cleaners sold in auto supply stores for 1/10 the price.
Sine then, I've used several different brands of waterless hand cleaners -- the no ammonia and no grit versions -- to clean precision stoneware, with complete satisfaction. My current can is GoJo, and I've used Goop, Gentle Kleen, DL, LanLin, Mechanics Brand, and probably a half dozen others.
None of them let me down, and they are almost guaranteed to be in stock at any auto parts store, hardware store, or lumber yard . . . for cheap.