Australian who has lived in US here. I met a wild mountain lion once, and it was quite scary, less than 3m away, and fortunately as scared of me as I was of it.
Conversely, I've been bitten by red-back spiders, by a bat, many large lizards and goannas, a 4m python, by a wobbygong shark and by a red-bellied black snake. I encounter many more dangerous critters here in Oz than I did in California. I do kind of bring it on myself though, 'cos of my penchant for picking up snakes and spiders.
And don't forget the Cassowary, a confirmed vegan bird that if startled can disembowel you in one strike. Not only apex predators can kill humans. I wasn't aware moose was an apex predator by the way, although they are plainly dangerous.