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)
Family:
Capromyidae (hutias)
Desmarest's hutia (Capromys pilorides)
Bahamian Hutia (Geocapromys ingrahami)
Brown's hutia (Geocapromys brownii)
Cabrera's Hutia (Mesocapromys angelcabrerai)
Dwarf Hutia (Mesocapromys nanus)
eared Hutia (Mesocapromys auritus)
San Felipe Hutia (Mesocapromys sanfelipensis)
Black-tailed Hutia (Mysateles melanurus)
Garrido's Hutia (Mysateles garridoi)
Gundlach's Hutia (Mysateles gundlachi)
Prehensile-tailed Hutia (Mysateles prehensilis)
Southern Hutia (Mysateles meridionalis)
Puerto Rican Hutia (Isolobodon portoricensis)
Hispaniolan Hutia (Plagiodontia aedium)
San Rafael Hutia (Plagiodontia araeum)
Lemke's Hutia (Rhizoplagiodontia lemkei)
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)
