I have a friend who has used a smooth cast iron skillet on hers for years with no problem. The instructions with my cook top say not to use pans with enameled bottoms or any type of glass or ceramic because in rare situations they can melt and fuse with the cook top, and the damage would be irreversible. So if you think there's any chance you'd ever let the liquid boil out of a pot, that might make you think twice about using those kinds. At least carefully read through your manual before you decide what's okay. My current one is an Amana, and it was in the house when we bought it - no manual. If I remember right the one we bought for the previous house was a Whirlpool.