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)
Family: Ctenomyidae (tuco-tucos)
Family: Dasyproctidae (agoutis)
Family: Dinomyidae (pacaranas)
Family: Echimyidae (spiny rats)
Family: Myocastoridae (nutria)
Family:
Octodontidae (octodonts)
Chilean Rock rat (Aconaemys fuscus)
Porter's Rock rat (Aconaemys porteri)
Sage's Rock rat (Aconaemys sagei)
Bridges' Degu (Octodon bridgesi)
Degu (Octodon degus)
Moon-toothed Degu (Octodon lunatus)
Isla Mocha Degu (Octodon pacificus)
Mountain Degu (Octodontomys gliroides)
Mountain Viscacha-Rat (Octomys mimax)
Golden Viscacha-Rat (Pipanacoctomys aureus)
Los Chalchaleros' Viscacha-Rat (Salinoctomys loschalchalerosorum)
Coruro (Spalacopus cyanus)
Plains Viscacha-Rat (Tympanoctomys barrerae)
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)
