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:
Erethizontidae (new World porcupines)
Bristle-spined rat (Chaetomys subspinosus)
Bicolored-spined Porcupine (Coendou bicolor)
Black Dwarf Porcupine (Coendou nycthemera)
Brazilian Porcupine (Coendou prehensilis)
Rothschild's Porcupine (Coendou rothschildi)
Stump-tailed Porcupine (Echinoprocta rufescens)
Streaked Dwarf Porcupine (Sphiggurus ichillus)
Bahia Porcupine (Sphiggurus insidiosus)
Black-tailed Hairy Dwarf Porcupine (Sphiggurus melanurus)
Mexican Hairy Dwarf Porcupine (Sphiggurus mexicanus)
Frosted Hairy Dwarf Porcupine (Sphiggurus pruinosus)
Roosmalen's Dwarf Porcupine (Sphiggurus roosmalenorum)
Paraguaian Hairy Dwarf Porcupine (Sphiggurus spinosus)
Brown Hairy Dwarf Porcupine (Sphiggurus vestitus)
Orange-spined Hairy Dwarf Porcupine (Sphiggurus villosus)
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)
