Screw-off lids are usually made of metal with a thin rubber sealing layer, whereas lift-off lids mostly consist of glass.
A traditional jar opener for a screw-off lid will have two handles, leading up to two concentric grooved rings which can be used to fit different lids.
[1] Jar openers that are designed to wedge open a lid sealed by a rubber ring were patented and produced in Germany in the mid 1930s, but all production has halted following the turn of the century.
Many people can remove the lids of glass jars by hand.
[2] Black & Decker produced the first automatic jar opener in 2003.