When I was a kid, my cousin used to deal with all sorts of wildlife on a professional level. He would get calls from all over to come get deer caught in fences, swingsets, living rooms, etc. The times I went with him, I learned real quick not to mess with whitetails. Even small ones can hurt you.
That being said, I caught numerous creatures when I was a teenager. Snakes, snapping turtles, groundhogs, muskrats mostly. Now, I'd rather watch them undisturbed than catch them.
When I lived in Alaska, I've had pine marten jump onto the deer quarters I was packing out, weasels in my boots, and once had a young black bear tug on my boot while I was napping under a big fir tree.
I did count coup on a big bull sealion while diving. Not the smartest thing I ever did. That thing was as big as a volkswagen beetle.