The Spellsinger books by Alan Dean Foster are a lot of fun. They're fantasy novels set in a world full of anthropomorphic animals. The main character is a university student who travels there from the real world, so I guess you could call them Isekai nowadays, although that term wasn't around in the 80s when they were written.

There's also "The Nature of Predators", a series of sci-fi webnovels with some very furry-ish alien species. The premise is that when humanity first starts to explore space, they encounter a galactic civilization that is entirely comprised of herbivore species and which is deeply suspicious and terrified of any sentient "predator" species. So the envoys of humanity have to try and prove their good intentions in a universe where many people would rather see them wiped out as a precaution.