Ring vanishing hankerchief

Borrow one from a lady (or gentleman) from the audience and grab a cloth to polish the ring slightly. Hold the ring under the cloth and ask the lady to hold her ring.
After a snap of the fingers grab the bottom of the cloth and the lady may ring her release. The ring is gone.

The ring you unpack your bag, let bring a waiter or wherever you want you can find the ring later.

For the disappearance of a ring the cloth is ideal. Anyone can now ring magically disappear and reappear in an impossible location.