Family: Anomaluridae (scaly-tailed squirrels)
Family: Aplodontiidae (mountain beaver)
Family: Castoridae (beavers)
Family: Heteromyidae (kangaroo rats, kangaroo mice)
Family: Diatomyidae (Laotian rock rat)
Family: Ctenodactylidae (gundis)
Family: Bathyergidae (African mole rats)
Family: Hystricidae (old world porcupines)
Family:
Abrocomidae (chinchilla rats)
Bennett's Chinchilla rat (Abrocoma bennettii)
Bolivian Chinchilla rat (Abrocoma boliviensis)
Budin's Chinchilla rat (Abrocoma budini)
Ashy Chinchilla rat (Abrocoma cinerea)
Famatina Chinchilla rat (Abrocoma famatina)
Sierra del Tontal Chinchilla rat (Abrocoma schistacea)
Uspallata Chinchilla rat (Abrocoma uspallata)
Punta de Vacas Chinchilla rat (Abrocoma vaccarum)
rat (Cuscomys ashaninka)
Family: Capromyidae (hutias)
Family: Ctenomyidae (tuco-tucos)
Family: Dasyproctidae (agoutis)
Family: Dinomyidae (pacaranas)
Family: Echimyidae (spiny rats)
Family: Myocastoridae (nutria)
Family: Octodontidae (octodonts)
Family: Dipodidae (jerboas, jumping mice)
Family: Calomyscidae (mouse-like hamsters)
Family: Cricetidae (hamsters, new world rats, mice, voles)
Family: Gliridae (dormice)
Family: Muridae (true mice, rats, gerbils, spiny mice, crested rat)
Family: Nesomyidae (climbing mice, rock mice, white-tailed rat, Malagasy rats, mice)
Family: Pedetidae (springhares)
Family: Petromuridae (dassie rat)
Family: Platacanthomyidae (spiny dormice)
Family: Spalacidae (mole rats, bamboo rats, zokors)
Family: Thryonomyidae (cane rats)
