The classification of batoids is currently undergoing revision; however, molecular evidence refutes the hypothesis that skates and rays are derived sharks.
Nelson's 2006 Fishes of the World recognizes four orders.
The Mesozoic Sclerorhynchoidea are basal or incertae sedis; they show features of the Rajiformes but have snouts resembling those of sawfishes.
However, evidence indicates they are probably the sister group to sawfishes.

Phylogenetic tree of Batoidea:
Order Torpediniformes
Family Hypnidae (coffin rays)
Family Narcinidae (numbfishes)
Family Narkidae (sleeper rays)
Family Torpedinidae (torpedo rays)
Order Rhinopristiformes
Family Glaucostegidae (giant guitarfishes)
Family Platyrhinidae* (fanrays)
Family Pristidae (sawfishes)
Family Rhinidae (wedgefishes)
Family Rhinobatidae (guitarfishes)
Family Trygonorrhinidae (banjo rays)
Family Zanobatidae* (panrays)
* the placement of these families is uncertain
Order Rajiformes
Family Anacanthobatidae (legskates)
Family Arhynchobatidae (softnose skates)
Family Gurgesiellidae (pygmy skates)
Family Rajidae (skates)
Order Myliobatiformes
Family Aetobatidae (pelagic eagle rays)
Family Dasyatidae (whiptail stingrays)
Family Gymnuridae (butterfly rays)
Family Hexatrygonidae (sixgill stingrays)
Family Myliobatidae (devilrays)
Family Plesiobatidae (giant stingarees)
Family Potamotrygonidae (Neotropical stingrays)
Family Rhinopteridae (cownose rays)
Family Urolophidae (stingarees)
Family Urotrygonidae (round stingrays)
The classification of batoids is currently undergoing revision; however, molecular evidence refutes the hypothesis that skates and rays are derived sharks. Nelson's 2006 Fishes of the World recognizes four orders. The Mesozoic Sclerorhynchoidea are basal or incertae sedis; they show features of the Rajiformes but have snouts resembling those of sawfishes. However, evidence indicates they are probably the sister group to sawfishes.
Phylogenetic tree of Batoidea:
Order Torpediniformes
Family Hypnidae (coffin rays)
Family Narcinidae (numbfishes)
Family Narkidae (sleeper rays)
Family Torpedinidae (torpedo rays)
Order Rhinopristiformes
Family Glaucostegidae (giant guitarfishes)
Family Platyrhinidae* (fanrays)
Family Pristidae (sawfishes)
Family Rhinidae (wedgefishes)
Family Rhinobatidae (guitarfishes)
Family Trygonorrhinidae (banjo rays)
Family Zanobatidae* (panrays)
* the placement of these families is uncertain
Order Rajiformes
Family Anacanthobatidae (legskates)
Family Arhynchobatidae (softnose skates)
Family Gurgesiellidae (pygmy skates)
Family Rajidae (skates)
Order Myliobatiformes
Family Aetobatidae (pelagic eagle rays)
Family Dasyatidae (whiptail stingrays)
Family Gymnuridae (butterfly rays)
Family Hexatrygonidae (sixgill stingrays)
Family Myliobatidae (devilrays)
Family Plesiobatidae (giant stingarees)
Family Potamotrygonidae (Neotropical stingrays)
Family Rhinopteridae (cownose rays)
Family Urolophidae (stingarees)
Family Urotrygonidae (round stingrays)
Batoidea