anomalure family (Anomaluridae)

• anomalure (genera Anomalurus, Idiurus, and Zenkerella)

spring hare family (Pedetidae)

• spring hare (Pedetes capensis)

beaver family (Castoridae)

• beaver (genus Castor)
• giant beaver (genus Castoroides; extinct)

kangaroo mice and rats (family Heteromyidae)

• kangaroo mouse (genus Microdipodops)
• kangaroo rat (genus Dipodomys)
• pocket mouse (several genera)

pocket gopher family (Geomyidae)

• pocket gopher (multiple genera)

agouti family (Dasyproctidae)

• acouchy (genus Myoprocta)
• agouti (genus Dasyprocta)

American spiny rat family (Echimyidae)

• American spiny rat (multiple genera)

blesmol family (Bathyergidae)

• blesmol (multiple genera)

cane rat family (Thryonomyidae)

• cane rat (genus Thryonomys)

cavy family (Caviidae)

• capybara (Hydrochoerus hydrochaeris)
• guinea pig (Cavia porcellus)
• mara (genus Dolichotis)

chinchilla family (Chinchillidae)

• chinchilla (genus Chinchilla)
• viscacha (genera Lagidium and Lagostomus)

chinchilla rat family (Abrocomidae)

• chinchilla rat (genera Cuscomys and Abrocoma)

dassie rat family (Petromuridae)

• dassie rat (Petromus typicus)

degu family (Octodontidae)

• degu (genus Octodon)

diatomyid family (Diatomyidae)

giant hutia family (Heptaxodontidae)

gundi family (Ctenodactylidae)

• gundi (multiple genera)

hutia family (Capromyidae)

• hutia (multiple genera)

New World porcupine family (Erethizontidae)

• New World porcupine (multiple genera)

nutria family (Myocastoridae)

• nutria (Myocastor coypus)

Old World porcupine family (Hystricidae)

• Old World porcupine (genera Atherurus, Hystrix, and Trichys)

paca family (Cuniculidae)

• paca (genus Cuniculus)

pacarana family (Dinomyidae)

• pacarana (Dinomys branickii)

tuco-tuco family (Ctenomyidae)

• tuco-tuco (genus Ctenomys)

cricetid family (Cricetidae)

• American harvest mouse (genus Reithrodontomys)
• cotton rat (genus Sigmodon)
• deer mouse (genus Peromyscus)
• grasshopper mouse (genus Onychomys)
• hamster (various genera)

  • golden hamster (Mesocricetus auratus)
• lemming (various genera)
• maned rat (Lophiomys imhausi)
• muskrat (genera Neofiber and Ondatra)
• rice rat (genus Oryzomys)
• vole (various genera)

  • meadow vole (genus Microtus)

    • woodland vole (Microtus pinetorum)
• water rat (various genera)
• woodrat (genus Neotoma)

dipodid family (Dipodidae)

• birch mouse (genus Sicista)
• jerboa (various genera)
• jumping mouse (genera Eozapus, Napaeozapus, and Zapus)

mouselike hamster family (Calomyscidae)

murid family (Muridae)

• African spiny mouse (genus Acomys)
• bandicoot rat (genera Bandicota and Nesokia)
• cloud rat (genera Phloeomys and Crateromys)
• gerbil (multiple genera)

  • sand rat (genus Psammomys)
• mouse (genus Mus)

  • house mouse (Mus musculus)
• Old World harvest mouse (genus Micromys)
• Old World rat (genus Rattus)
• shrew rat (various genera)
• water rat (genera Hydromys, Crossomys, and Colomys)
• wood mouse (genus Apodemus)

nesomyid family (Nesomyidae)

• African pouched rat (genera Beamys, Cricetomys, and Saccostomus)

Oriental dormouse family (Platacanthomyidae)

• Asian tree mouse (genera Platacanthomys and Typhlomys)

spalacid family (Spalacidae)

• bamboo rat (genera Rhizomys and Cannomys)
• blind mole rat (genera Nannospalax and Spalax)
• zokor (genus Myospalax)

dormouse family (Gliridae)

• dormouse (various genera)

  • desert dormouse (Selevinia betpakdalaensis)

mountain beaver family (Aplodontiidae)

• mountain beaver (Aplodontia rufa)

squirrel family (Sciuridae)

• chipmunk (genus Tamias)
• flying squirrel (multiple genera)
• ground squirrel (multiple genera)

  • suslik (genus Spermophilus)
• marmot (genus Marmota)

  • groundhog (Marmota monax)
• prairie dog (genus Cynomys)
• tree squirrel (multiple genera)