Leather Corals For Sale Online. Live Leather Coral For Sale. Leather Corals are a subspecies of coral under: Soft Coral. Leather Corals grow long stalks with a flat base at the end; mimicking the shape of a mushroom (fungus). Leather Corals are one of the most abundant corals to acquire as the growth rate is relatively fast. Leather Corals add a unique addition to any reef tank.