Other than those already mentioned.
In Europe there are feral populations of Siberian chipmunks in France and Germany, muskrats in eastern Europe, African creasted porcupine in Italy, raccoon in Germany and holland, raccoon dogs in eastern Europe, White tailed deer in Finland,
Uk also haven't mentioned glis glis, American mink, sika deer, muntjac deer, Chinese water deer.
And that's just mammals. There are also isolated cases of skunks, racoons, gennets, coatis, arctic foxes and various other squirrel species that pop up. I have friends that once spotted an albino skunk in some woods and tried to catch it but were sprayed!