Castoridae (beavers)
Geomyidae (pocket gophers)
Heteromyidae (kangaroo rats, kangaroo mice)
Anomaluridae (scaly-tailed squirrels)
Pedetidae (springhares)
Dipodidae (jerboas, jumping mice)
Spalacidae (mole rats, bamboo rats, and zokors)
Calomyscidae (mouse-like hamsters)
Nesomyidae (climbing mice, rock mice, white-tailed rat, Malagasy rats and mice)
Cricetidae (hamsters, New World rats and mice, muskrats, voles etc.)
Muridae (mouse, rat, gerbils, spiny mice, crested rat etc.)
Gliridae (Myoxidae, Muscardinidae) (dormice)
Aplodontidae (mountain beaver)
Sciuridae (squirrels, chipmunks, prairie dogs, marmots etc.)
Ctenodactylidae (gundis)
Diatomyidae (Laotian rock rat)
Hystricidae (Old World porcupines)
Bathyergidae (African mole rats)
Thryonomyidae (cane rats)
Petromyidae (dassie rat)
Erethizontidae (New World porcupines)
Cuniculidae (Agoutidae) (pacas)
Dasyproctidae (agoutis)
Caviidae (cavies, guinea pigs, capybara)
Hydrochoeridae
Chinchillidae (chinchillas, viscachas)
Dinomyidae (pacaranas)
Abrocomidae (chinchilla rats)
Octodontidae (octodonts)
Ctenomyidae (tuco-tucos)
Capromyidae (hutias)
Myocastoridae (nutria, coypu)
Echimyidae (spiny rats)