Garnet does occur in every color except blue and most varieties are named for their color.
The gemstone Rhodolite is of a purplish red and hessonite is the name for an orange  cinnamon or pinkish variety.
Tsavorite is the varietie given to dark green grossularite.
Uvarovite and demantoid are green as well.
Pyrope garnets is of purplish red, orangy red or dark red.
Spessartite garnets have colors from yellow to orange and red to reddish brown to dark black brown. Color changeing garnets hav a "alexandrite" like effect when viewed in natural light or artificial light.