According to Zootierliste, the following monotremes and marsupials are no longer found in European zoos:
Monotremes: Barton's echidna, platypus.
Opossums: Azara's, brown four-eyed, common, Derby's and western woolly, dusky and white-bellied slender, elegant fat-tailed and Mexican mouse, four-eyed, philander, red-legged short-tailed, thick-tailed, water
Dasyurids: Brush-tailed phascogale, common planigale, fat-tailed dunnart, New Guinea, spotted-tail, western and northern quolls, yellow-footed antechinus
Thylacine
Bandicoots: Common, long-nosed, northern and southern brown, Raffray, rufous spiny, greater bilby
Cuscuses and brush-tailed possums: Coppery brushtail, Sulawesi dwarf, short-tailed spotted and grey cuscuses, short-eared possum
Ring-tail possums: Common and lemuroid ring-tails, greater glider
Gliders: Leadbeater's possum, squirrel and yellow-bellied gliders
Feather-tails: Feather-tail possum
Pygmy possums: Eastern and mountain
Wombats: Southern hairy-nosed
Rat kangaroos: Desert, rufous and musky rat kangaroos, burrowing and eastern bettongs
Kangaroos and wallabies: Antilopine wallaroo, banded, spectacled and eastern hare wallabies, Bennett's, grizzled, highland, Vogelkop and Doria's tree kangaroos, black-striped and pretty-faced wallaby, bridled, northern and crescent nail-tailed wallabies, brush-tailed, short-eared, unadorned and Rothschild's rock wallabies, grey and Macleay's dorcopsis, quokka, red-bellied, red-necked and red-legged pademelons, western brush wallaby