Yup! I’m in Greater London (half an hour from Central), and the wildlife here is… depleted to say the least.
We have a tonne of red foxes, sometimes some hedgehogs, badgers and bats. The occasional invasive muntjac deer.
Some relatives of mine live in Canterbury near Blean Wood, and they have a much more exciting lot! Not only do they have the usual British woodland suspects, but they have just seen a rewilding project introduce Iron Age Pigs, Exmoor Ponies, Longhorn Cattle AND (most excitingly) the Wisent to their woodland.
But, like
@Fallax said, if you want to see the most exciting aspects British wildlife, look to the waters. Grey Seals, Basking Sharks, Dolphins, Grey Whales, Orcas, and the occasional Walrus populate our waters!
I once went paddleboarding in North Wales (where my partner at the time was from), and ended up surrounded by a huge colony of curious grey seals! The most exciting wildlife encounter I’ve had in the UK by a long shot!!!