Gems with facets so far:
*
Ruby, Sapphire, and Garnet - Crystalline. Normally facet-cut, not smoothed.
*
Amethyst, Steven, and Rose Quartz - Crystalline. Can be either facet-cut or smoothed.
*
Jasper - Not crystalline; a rock. Normally smoothed, not facet-cut.
Gems without facets so far:
*
Pearl - A pearl.
*
Lapis - Not crystalline; a rock. Normally smoothed.
*
Peridot - Crystalline. Normally facet-cut, not smoothed.
( There are some common themes within these groups )