Asaphiscidae Raymond, 1924

Anomocarella Walcott, 1906

Asaphiscus Meek, 1873

Blountia Walcott, 1916

Catuniella Egorova, 1956

Dolgaia Walcott & Resser, 1928

Homodictya Raymond, 1937

Irania King, 1937

Iranoleesia King, 1955

Kaninia Walcott & Resser, 1928

Liopeishania Chang, 1963

Manchuriella Resser & Endo, 1935

Maryvillia Walcott, 1916

Mindycrusta Öpik, 1967

Peishania Resser & Endo, 1935

Proasaphiscus Resser & Endo, 1935

Psilaspis Resser & Endo, 1935

Stenocombus Raymond, 1937