Y’all never had large predators?
Wolves until some time in the 19th century, killed off in most of western Europe. However they're on the return - since about 1 or 2 years we've got about 2 or 3 settled wolves in the Netherlands and a number of visitors. And yes, we're small enough that we know exactly how many wolves actually live here :')
We had bears (brown and black) up until the middle ages, but they were killed off around then as well (probably in the 12th century).
Lynx - killed off in the 19th century.
Wild cats - killed off in the 20th century.
The Netherlands are highly populated and most of the non-urban land is farmground. We only have a small percentage of nature left (and it's very managed, so not exactly wilderness), and it's mostly small and scattered, so it's very difficult for larger mammals to have a proper territory, especially for predators - which, due to the high prevalence of farmers, have also actively been killed off because of their risk to livestock.
We do still have a decent population of boar and deer (red deer and roedeer) and we've introduced wild(ish) horses too, though tbf most of those populations are very managed as well.
But yeah, not a good country for wild animals.
I think the UK has a similar story - pretty sure there were wolves and bears up until the middle ages, but probably not after that (except maybe in Scotland?). Lynx too, I presume.