Phylum Chordata Bateson, 1885 - chordates
Subphylum Vertebrata Cuvier, 1812 - vertebrates
Pisces
Class Actinopterygii Woodward, 1891 - ray-finned fishes
Order Beryciformes Günther, 1880 - alfonso squirrelfishes
Family †Aipichthyidae Patterson, 1964
Family Anomalopidae - lanterneye fishes
Family Anoplogastridae
Family †Araripichthyidae Silva Santos
Family Berycidae Lowe, 1843 - berycids
Family †Dinopterygidae Jordan, 1923
Family Diretmidae - spinyfins
Family Gibberichthyidae - gibberfishes
Family Hispidoberycidae
Family Holocentridae Richardson, 1846 - squirrelfishes and soldierfishes
Family Melamphaidae - bigscales
Family Monocentridae - pinecone fishes
Family †Pharmacichthyidae Patterson, 1964
Family Polymixiidae Gill, 1862 - beardfishes
Family †Pycnosteroididae Patterson, 1964
Family Stephanoberycidae - pricklefishes
Family †Stichocentridae Gayet, 1982
Family Trachichthyidae Bleeker, 1859 - slimeheads