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Family: Anomaluridae (scaly-tailed squirrels)
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Family: Aplodontiidae (mountain beaver)
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Family: Castoridae (beavers)
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Family: Heteromyidae (kangaroo rats, kangaroo mice)
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Family: Diatomyidae (Laotian rock rat)
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Family: Ctenodactylidae (gundis)
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Family: Bathyergidae (African mole rats)
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Family: Hystricidae (old world porcupines)
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Family: Abrocomidae (chinchilla rats)
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Family: Capromyidae (hutias)
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Family: Ctenomyidae (tuco-tucos)
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Family: Dasyproctidae (agoutis)
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Family: Dinomyidae (pacaranas)
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Family: Echimyidae (spiny rats)
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Family: Myocastoridae (nutria)
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Family: Octodontidae (octodonts)
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Family: Dipodidae (jerboas, jumping mice)
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Family: Calomyscidae (mouse-like hamsters)
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Family: Cricetidae (hamsters, new world rats, mice, voles)
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Family: Gliridae (dormice)
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Family: Muridae (true mice, rats, gerbils, spiny mice, crested rat)
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Family: Nesomyidae (climbing mice, rock mice, white-tailed rat, Malagasy rats, mice)
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Family: Pedetidae (springhares)
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Family: Petromuridae (dassie rat)
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Family: Platacanthomyidae (spiny dormice)
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Family: Spalacidae (mole rats, bamboo rats, zokors)
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Family: Thryonomyidae (cane rats)