There are literally dozens of different varieties of figs. Only two are prevalent in Washington area markets:
BLACK MISSIONPurplish-black. When ripe, it has an intensely honeyed sweetness. Named for the Spanish priests who supposedly brought the figs to the San Diego Mission founded in 1759.
CALIMYRNA Golden-brown to pale green. Compared with the Black Mission, the flavor is fruitier and less intense. Referred to in Turkey as "Smyrna," but renamed when it was brought to California.