I had a really odd one most recently. It started in a VIP box, the kind that you might find in a stadium, but this one overlooked what seemed to be a beach. I was there alone and looking out over the beach. People were sunbathing and swimming when out of the water's depths emerged an orca. I initially thought it was going to attack the swimmers, but it didn't, then a moment later a variety of different whales swam into view, followed by some kind of plesiosaur-like creature. I chose this point to leave and, as I walked down the steps that led down from the box, somehow I realised that the whole thing was actually a sea-life centre, not a beach. It got weirder from there, but the rest didn't really involve animals.
Had another several years ago where I was being chased around a sunny, rural village by a comically oversized bull. It seemed to go on forever, running after me in circles, round and round, over a fence and round again, until I decided I'd jump in the lake next to the path as a last-ditch effort to escape, only the bull jumped in after me and I woke up with a start, entirely annoyed that my plan hadn't worked.