I did a bit of research bookwise and here's what I found in "Encyclopedia of Minerals." Quartz comes naturally in a wide variety, they being:
BLUE QUARTZ: Pale blue, grayish blue to lavender blue. Translucent. Somewhat chatoyant.
Rock Crystal: colorless, transparent.
Amethyst: various shades of purple or violet.
Citrine: pale yellow, yellow, yellow-brown, reddish brown. Transparent to translucent. Often erroneously called "topaz."
Smoky quartz: pale smoky brown to almost black. Transparent to nearly opaque. Also called cairngorm or morion.
Rose quartz: pale pink to deep rose red, occasionally with purplish tinge. Sometimes exhibits distinct asterism.
Milky quartz: Milky white to grayish white. Translucent to nearly opaque. Luster often greasy.
QUARTZ VARIETIES WITH INCLUSIONS:
Rutilated quartz: Contains distinct acicular rutile crystals in sprays or random orientation.
Aventurine: Spangled with glistening scales of micaceious minerals such as mica or hematite.
Tiger-eye: finely fibrous, chatoyant. Formed by complete or partial replacement of asbestos, especially crocidolite. Yellow, yellow-brown, brown, reddish brown, bluish; also grayish green, green.
Ferruginous quartz: contains inclusions of goethite or hematite. Brown to red.
A VARIETY OF OTHER MINERALS ARE FOUND AS INCLUSIONS IN QUARTZ CRYSTALS INCLUDING:
Tourmaline
Chalcedony: Composed of microscopic fibers. white, grayish, blue, brown, black
Agate: banded chalcedony with successive layers differing in colors
Onyx: banded agate with layers parallel to straight lines
Moss Agate: gray, bluish, or milky transparent to translucent chalcedony
Sard: uniformly colored light brown to dark brown translucent chalcedony
Carnelian: blood red, flesh red to reddish brown chalcedony
Chrysoprase: Apple green translucent subvariety of chalcedony.
Plasma: Microgranular or microfibrous variety of quartz colored various shades of green
Prase: Leek green translucent variety of quartz
Heliotrope: Greenish variety of chalcedony or plasma containing red spots of iron oxide
Bloodstone: Greenish variety of chalcedony or plasma containing red spots of iron oxide