To be clear - the vanish uses a gimmick that will not be able to be used for anything else. The appearance uses any ring and does not damage it at all (unless you drop it, in which case that's your own fault...). A wedding band would be perfect for the appearance, a large signet ring would not work so well because it would be harder to conceal. While not set up for a borrowed ring, you could make it work by borrowing a ring, vanishing it, then going into the appearing ring routine.