Of the three species of angelfish, namely the freshwater angelfish, Orinoco angelfish, and the teardrop angelfish, the freshwater angelfish seems most popular among pet enthusiasts.In fact, if someone is talking about angelfish with reference to pet trade, it is most likely to be the freshwater angelfish.f the three species of angelfish, namely the freshwater angelfish, Orinoco angelfish, and the teardrop angelfish, the freshwater angelfish seems most popular among pet enthusiasts.