Monkeys in a very snowy forest. I remember feeding them nuts once.

They're called macaques.

Alligators…not sure if that’s considered “common” or not. We don’t see them on a regular basis depending on your activities. If you fish/kayak a lot, you’ll see them. If you don’t, you generally won’t unless there’s a drought. Then they’ll be in intersections or in your parking lot at work looking for water.

I went camping with my cousin and a blue jay came by our campiste, him and his wife are bird watchers and were amazed by it. I was amazed they didn't have any where they live even though it's only a few hours from the campsite

Had an american who loved our robin redbreasts

Urban foxes

Here in the US, I find most of my EU friends want to see the American Texan in the wild. Weird fetish, but hey, you do you.

We dont have much in the way of animals but we have birds. The Tui is common in suburban gardens here, but they are beautiful and even as a local I still like seeing them. Pukekos are everywhere but for those from the UK/ Europe/ USA they're prett exotic. Down South, Wekas are absolutely everywhere outside the cities and will walk right into people's homes - I once experienced coitus interruptus when a Weka jumped up on the bed I was in with a guy.

When I was in South Africa I was super excited to see baboons, locally considered something of a nuisance. And in Queensland, Australia, the first time I saw an Australian white ibis, locally known as a bin chicken, the locals must have been very amused to see me chasing it with a camera getting photos

Here in Scotland tourists are always fascinated when we talk about the wild haggis running around.

Chipmunks. I once went to a zoo in Chicago with someone who grew up in South Africa and he was more fascinated with the chipmunks running along the paths than with anything else at the zoo.