Traveling through London and departure from Gatweek is probably the best way to visit British Wildlife Centre from abroad. It's not exactly easy to be reached with public transport, but it's not impossible. Gratitude to
@pipaluk, who made me aware of the intriguing species list they offer. Both Dormices - Hazel and Edible didn't show up, but the rest was there.
BTW, if you wander from where San Diego got the idea for the huge Porcupine at the new Children zoo, visit British Wildlife Centre

There is a huge Hedgehog statue at the zoo entrance, donated by UKTV in 2014.
07.05.2022 British Wildlife Centre
172. American mink/ Mustela vison
173. British bank vole/ Myodes glareolus britannicus
174. Water vole/ Arvicola amphibius
175. European badger/ Meles meles meles
176. Pine marten/ Martes martes
177. European red fox / Vulpes vulpes crucigera
178. Least weasel/ Mustela nivalis
179. Wood mouse/ Apodemus sylvaticus
180. Black rat/ Rattus rattus
181. Field vole / Microtus agrestis
182. Stoat/ Mustela erminea
183. West European hedgehog/Erinaceus europaeus
184. Yellow-necked field mouse/ Apodemus flavicollis
185. Western tawny Owl/ Strix aluco sylvatica
186. Eurasian Long-eared Owl/ Asio otus otus
187. Brown long-eared bat/ Plecotus auritus
I made short summary of the current numbers divided by category. It's hard to estimated the possible totals, but it more or less shows which categories I am doing good and where I can improve
Monotremidae (Monotremes) 1
Marsupialidae (Marsupials) 15
Orycteropodidae (Aardvark) 1
Tenrecidae (Tenrecs) 1
Xenarthra (Armadillos, anteaters, and sloths) 5
Gliridae (Dormice) 0
Hystricidae (Old World Porcupines) 3
Erethizontidae (New World Porcupines) 1
Castoridae (Beavers) 1
Heteromyidae (Kangaroo-rats) 0
Pedetidae (Springhares) 1
Dipodidae (Jerboas) 1
Calomyscidae (Mouse-like hamsters) 0
Nesomyidae (Malagasy rats and pouched rats) 1
Cricetidae (Hamsters, voles, lemmings, deer mice, and muskrat) 3
Muridae (Spiny mice, gerbils/jirds, Old World mice/rats) 14
Leporidae (Rabbits and hares) 1
Dermoptera (Colugos) 0
Cheirogaleidae (Dwarf and mouse lemurs) 2
Daubentoniidae (Aye-Aye) 1
Lorisoidea (Loris and galagos) 6
Tarsiidae (Tarsiers) 0
Aotus (Night-monkeys) 2
Erinaceidae (Hedgehogs) 1
Chiroptera (Bats) 8
Hippopotamidae (Hippos) 2
Tragulidae (Chevrotains) 2
Pholidota (Pangolins) 0
Nandiniidae (African Palm-Civet) 0
Prionodontidae (Linsangs) 0
Viverridae (Civets and genets) 3
Hyaenidae (Hyaenas) 3
Felidae (Cats) 21
Canidae (Dogs and foxes) 14
Mephitidae (Skunks) 1
Procyonidae (Raccoons, coatis, cacomistles, and kinkajou) 5
Mustelidae (Weasels, badgers, otters, etc.) 13
Apterygiformes (Kiwis) 0
Strigiformes (Owls) 9
Podargiformes (Frogmouths) 1
Gekkota (Geckos) 7
Crocolydia (Crocodiles, alligators, and gharials) 18
Sharks 19