Chimaeriformes

Agkistracanthus Duffin & Furrer, 1981

Amylodon Storms, 1894

Bathytheristes Duffin, 1995

Belgorodon Nessov & Averjanova, 1996

Brachymylus Smith Woodward, 1892

Callorhinchidae Garman, 1901

Callorhynchidae Garman, 1901

Chimaeridae Bonaparte, 1831

Cochliodontidae

Crassidonta Branson, 1916

Delphyodontos Lund, 1980

Deltodontidae

Deltoptychiidae

Echinochimaera Lund, 1977

Echinochimaeridae

Edaphodontidae

Elasmodectes Woodward, 1888

Elasmodus Egerton, 1843

Lebedidon Nessov & Averjanova, 1996

Marracanthus St. John & Worthen, 1875

Menaspidae

Myriacanthidae

Pachymylus Woodward, 1892

Rhinochimaeridae Garman, 1901

Similihariotta Zangerl, 1979

Squalorajidae Woodward, 1886