Aracanidae (16)Avitoplectidae (1)Balistidae (filefishes and triggerfishes)
(117)Balkariidae (1)Bolcabalistidae (2)Cretatriacanthidae (2)Diodontidae (burrfishes and porcupinefishes)
(45)Eoplectidae (1)Eotrigonodontidae (5)Moclaybalistidae (1)Molidae (headfishes, molas, ocean sunfishes, and trunkfishes)
(12)Monacanthidae (filefishes)
(140)Ostraciidae (boxfishes, cofferfishes, cowfishes, and trunkfishes)
(68)Plectocretacicidae (1)Protobalistidae (4)Protriacanthidae (1)Tetraodontidae (blowfishes, globefishes, puffers, rabbitfishes, swellfishes, and toadfishes)
(281)Triacanthidae (hornfishes, spikefishes, and triplespines)
(11)Triacanthodidae (Spikefish)
(24)Trigonodontidae (2)Triodontidae (threetooth puffers)
(2)Zignoichthyidae (1)