The (Tetraodontiformes) - Order
The Deepwater Boxfishes
(Aracanidae)
- family
The Triggerfishes
(Balistidae)
- family
The Porcupinefishes
(Diodontidae)
- family
The Ocean Sunfishes
(Molidae)
- family
The Filefishes
(Monacanthidae)
- family
The Boxfishes
(Ostraciidae)
- family
The Pufferfishes
(Tetraodontidae)
- family
The Triplespines
(Triacanthidae)
- family
The Spikefishes
(Triacanthodidae)
- family
The Three-Toothed Puffer
(Triacanthodidae)
- family

(Bolcabalistidae)
- family -extinct-

(Cretatriacanthidae)
- family -extinct-

(Eoplectidae)
- family -extinct-

(Eospinidae)
- family -extinct-

(Moclaybalistidae)
- family -extinct-

(Plectocretacicidae)
- family -extinct-

(Protobalistidae)
- family -extinct-

(Protriacanthidae)
- family -extinct-

(Spinacanthidae)
- family -extinct-