While Blattodea technically includes termites, I do not know the regulations on termites and will only cover cockroaches.
All cockroaches are regulated by the USDA, but the species below have been deregulated.
- Archimandrita tesselata
- Blatta lateralis
- Blatta orientalis
- Blattella germanica
- Blaberus atropos
- Blaberus craniifer
- Blaberus discoidalis
- Blaberus giganteus
- Blaptica dubia
- Byrsotria fumigata
- Elliptorhina chopardi
- Elliptorhina laevigata
- Eublaberus distanti
- Eublaberus posticus
- Eurycotis floridana
- Gromphadorhina portentosa
- Gyna lurida
- Henscheoutedenia flexivitta
- Macropanestia rhinoceros
- Nauphoeta cinerea
- Neostylopyga rhombifolia
- Panchlora nivea
- Parcoblatta divisa
- Parcoblatta lata
- Parcoblatta pennsylvanica
- Parcoblatta zebra
- Periplaneta americana
- Periplaneta australasia
- Rhyparobia maderae
- Therea petiveriana