Righteye flounders are a family, Pleuronectidae, of flounders. They are called `righteye flounders` because most species lie on the sea bottom on their left side, with both eyes on the right side. The Paralichthyidae are the opposite, with their eyes on the left side. A small number of species in Pleuronectidae can also have their eyes on the le..... Found on http://en.wikipedia.org/wiki/Pleuronectidae