Raphidioptera Martynov, 1938

Alloraphidiidae

Arariperaphidia Martins-Neto & Vulcano, 1990

Archiinocellia Handlirsch, 1911

Baissopteridae

Fatjanoptera Martynova, 1961

Fatjanopteridae

Inocelliidae

Letopaloptera Martynova, 1961

Mesoraphidiidae

Ororaphidia Engel & Ren, 2008

Permindigena Novokshonov, 1998

Priscaenigmatidae

Raphidiidae

Sinoinocellia Wang, 1987

Styporaphidia Engel & Ren, 2008

Succinoraphidia Aspöck & Aspöck, 2004