While the European Rabbit is a feral pest in Australia, it is regarded as threatened in its natural range of Spain and Portugal. See:- https://www.iucn.org/downloads/european_rabbit_press_release.pdf
Oryctolagus cuniculus is listed in the following regions:
Canberra & Southern Tablelands | Southern Highlands | Albury, Wodonga | South Coast | Greater Sydney | Hunter Region | Far West New South Wales | Barwon South West | Tasmania | South East South Australia
Maps
Ainslie volcanic grassland Albury ANBG ANU Banks Precinct ANU Ellery Precinct ANU Garran Precinct ANU Liversidge Precinct Aranda Bushland Australian National University Ben Boyd National Park Bendora Reservoir Bicentennial Park Birrigai Black Mountain Bruce Ridge Bruce Ridge to Gossan Hill Bullen Range Burradoo Caladenia Forest, O'Connor Callum Brae Campbell Park Woodland Cecil Hoskins Nature Reserve Central Molonglo City Renewal Authority Area Commonwealth & Kings Parks Cooleman Ridge Cotter Reservoir Dryandra St Woodland Dunlop Grasslands Eurobodalla National Park Exeter Four Winds Bioblitz Reference Sites Gibraltar Pines Gigerline Nature Reserve Ginninderry Conservation Corridor Gossan Hill Goulburn Mulwaree Council Goulburn Wetlands Harcourt Hill Higgins Woodland Hill Reserve Illilanga & Baroona Isaacs Ridge Isaacs Ridge and Nearby Jerrabomberra Grassland Jerrabomberra Wetlands Kama Kosciuszko National Park Ku-ring-gai Chase National Park Lake Burley Griffin Central/East Lake Burley Griffin West Lake Ginninderra Lower Cotter Catchment Lower Molonglo Mcleods Creek Res (Gundaroo) McQuoids Hill Molonglo Gorge Molonglo River Reserve Moss Vale Mount Ainslie Mount Ainslie to Black Mountain Mount Majura Mount Mugga Mugga Mount Taylor Mulanggari Grasslands Mulligans Flat Namadgi National Park Namarag NR National Zoo and Aquarium Pine Island to Point Hut Point Hut to Tharwa Red Hill Nature Reserve Red Light Hill Reserve Rob Roy Range Rock Valley, Tidbinbilla Rowes Lagoon Scrivener Hill Seven Mile Beach National Park Sherwood Forest Shoalhaven Heads Bushcare Six Mile TSR South East Forest National Park Stony Creek Sullivans Creek, Acton Sullivans Creek, Turner Swamp Creek The Fair, Watson The Pinnacle Tidbinbilla Nature Reserve Tuggeranong Hill Tynans TSR Uriarra Recreation Reserve VC00319 Wanniassa Hill Watson Woodlands WendyM's farm at Freshwater Ck. Wingecarribee Local Government Area Wingello Wodonga Wonga Wetlands Woodstock Nature ReservePlaces
Ainslie, ACT Burradoo, NSW Campbell, ACT Capital Hill, ACT Dunlop, ACT Flynn, ACT Forde, ACT Frankford, TAS Fyshwick, ACT Goolwa, SA Gundaroo, NSW Hackett, ACT Higgins, ACT Hume, ACT Ngunnawal, ACT Nicholls, ACT O'Connor, ACT O'Malley, ACT Palm Beach, NSW Parkes, ACT Pialligo, ACT Port Fairy, VIC Shoalhaven Heads, NSW Symonston, ACT Watson, ACT Wee Jasper, NSW Wollogorang, NSW