Here is a list of mammal species kept in 1-10 zoos according to Zootierliste:
OPOSSUMS: Four-eyed, short-tailed, Virginia and western woolly opossums.
DASYUROMORPHS: Tasmanian devil
DIPROTODONTIANS: Common wombat; short-tailed spotted and bear cuscuses; brush-tail possum; common striped possum; narrow-toed feather-tailed glider ; agile wallaby; common wallaroo; yellow-footed rock wallaby; dusky pademelon; white-striped dorcopsis; Goodfellow’s and Matschie’s tree kangaroos
AFROSORICIDS: Greater hedgehog tenrec; highland and lowland streaked tenrecs; tail-less tenrec
SENGIS: Black-and-rufous and rufous sengis
HYRAXES: Southern and western tree hyraxes
SIRENIANS: West Indian manatee
ARMADILLOS: Little hairy and nine-banded armadillos
SLOTHS AND ANTEATERS: Pale-throated sloth; Hoffmann’s sloth
TREE SHREWS: Common tree shrew
PRIMATES: Western fat-tailed and Geoffroy’s dwarf lemurs; Goodman’s mouse lemur; collared lemur; white-collared brown lemur; blue-eyed black lemur; grey, northern and greater bamboo lemurs; crowned sifaka; aye-aye; dry zone slender loris; Bengal and greater slow lorises; potto; Garnett’s, thick-tailed and Moholi bushbabies; Andean, Spix’s, Weddell’s and red saddle-backed tamarins; Spix’s moustached tamarin; Graell’s tamarins; golden-rumped lion tamarin; bearded, large-headed, white-fronted and black-horned capuchins; bare-eared squirrel monkey; Humboldt’s, Spix’s and Nancy Ma’s night monkeys; black saki; Guianan and Venezuelan red howlers; black-faced and white-fronted spider monkeys; woolly monkey; Assam, Heck’s, moor, Tonkean, toque, northern pig-tailed and bonnet macaques; agile, grey-cheeked and golden-bellied mangabeys; yellow baboon; Allen’s swamp monkey; Angolan vervet; vervet; green and tantalus monkeys; southern talapoin; red-bellied, crowned, blue, Campbell’s, mona, lesser white-nosed, putty-nosed, Hamlyn’s, Wolf’s, Lowe’s, moustached, Syke’s and red-tailed guenons; king and Angolan colobus monkeys; dusky langur; Francois’ and silvered leaf monkeys; red-shanked douc langur; grey, moloch, southern white-cheeked and agile gibbons; bonobo; eastern gorilla
LAGOMORPHS: Daurian pika; Corsican hare
RODENTS: Merriam’s kangaroo rat; northern birch mouse; great, small five-toed and long-eared jerboas; greater and lesser Egyptian jerboas; soft-furred tree mouse; Middle East blind mole-rat; cactus, Oldfield and North American deer mice; hispid cotton rat; Afghan mouse-like hamster; Campbell’s desert and Chinese hamsters; Roborovski’s desert hamster; bank, common, Eurasian water, grey and northern red-backed, Guenther’s, Nehring’s snow, reed, short-tailed field, social and Cabrera voles; muskrat; northern bog, yellow steppe and Norway lemmings; northern and Zaisan mole voles; Baluchistan dwarf, Cheesman’s, North African, pallid, pygmy, Wagner’s and Anderson’s gerbils; Sundevall’s, Shaw’s, Libyan, Persian, Tristram’s, Vinogradov’s and midday jirds; fat sand rat; golden, Percival’s, Seurat’s, southern African and Crete spiny mice; forest giant pouched rat; Grandidier’s tufted-tailed rat; mesic four-striped and Neumann’s grass rats; black-tailed tree, Nile and acacia rats; Alpine, long-tailed, pygmy, yellow-necked and striped field mice; Natal and Southern African multimammate mice; Matthey’s and steppe mice; typical striped and xeric four-striped grass mice; Australian water rat; Southern Luzon giant and Panay bushy-tailed cloud rats; East African and southern springhares; Phillippine porcupine; Ansell’s and Mechow’s mole-rats; black-rumped agouti; northern mountain viscacha; plains viscacha; coruro; Pére David’s and common rock squirrels; Richardson’s and speckled ground squirrels; Harris’ antelope squirrel; Siberian marmot; woodchuck; Gunnison’s prairie dog; Caucasian, fox, red-tailed, Japanese, Peters’s, Yucatan, Finlayson’s, grey-bellied, Himalayan striped, northern palm, Perny’s long-nosed, plantain, red-legged sun, Smith’s bush and variegated squirrels; black and grizzled giant squirrels; parti-coloured, southern and European flying squirrels; red-and-white and red giant flying squirrels; black-tailed garden, Eurasian forest and hazel dormice; Kellen’s and Lorraine’s African dormice
HEDGEHOGS: Amur and Brandt’s hedgehogs; North African desert hedgehog; northern white-breasted hedgehog
SORICOMORPHS: Common shrew; Eurasian water shrew; greater and pygmy white-toothed shrews; piebald shrew
BATS: Comoro, Indian, island, Vietnamese small and grey-headed flying foxes; Gambian epauletted bat; hammerhead bat; lesser mouse-tailed bat; lesser horseshoe bat; pale spear-nosed bat; southern long-nosed bat; Pallas’s long-tongued bat; common vampire; greater mouse-eared bat; noctule
CARNIVORES: African palm civet; African and Malayan civets; feline, pardine, rusty-spotted and Hausa genets; banded, Owston’s, small-toothed and masked palm civets; brown hyena; aardwolf; common slender, Gambian, marsh, white-tailed and Egyptian mongooses; eastern ring-tailed vontsira; northern narrow-striped boky; Iberian lynx; oncilla; Asian golden cat; Blanford’s, Rueppell’s sand, swift and Cape foxes; coyote; Egyptian wolf; black-backed jackal; giant panda; sloth bear; smooth-coated, spotted-necked and sea otters; sable; greater and little grisons; Siberian weasel; stoat; marbled and Russian polecats; zorilla; ratel; Asian badger; Javan ferret badger; northern and South American fur seals; Steller sea lion; ringed, bearded, harp, ribbon and Baikal seals; eastern spotted skunk; ringtail; crab-eating raccoon
PERISSODACTYLS: Baird’s tapir
CETARTIODACTYLS: Bearded pig; Sulawesi babirusa; Chacoan and white-lipped peccaries; Balabac and greater chevotrains; Siberian musk deer; Indian muntjac; tufted deer; Bawean deer; sambar; Javan rusa; white-tailed deer; brown brocket; American moose; eastern roe deer; mountain, Cuvier’s, Speke’s, Thomson’s and slender-horned gazelles; gerenuk; saiga; klipspringer; Pyrenean chamois; Amur goral; Japanese serow; Arabian tahr; East Caucasian tur; urial; argali; bighorn; Dall’s sheep; mountain anoa; mountain reedbuck; beisa oryx; Cape hartebeest; blue and yellow-backed duikers; orca; short-finned pilot whale; harbour porpoise; Orinoco dolphin