The most incredible bout of animals was hiking one time back in Colorado where I saw a whole family of wild turkeys at the bottom of a gulch, 5 black bears half way up and a majestic 7 point bull elk at the top.
The thing that was odd is that all three were within 30 minutes and they seemed to not even know I was there. Think something was seriously in my favor that day.
The freakiest wild animal encounter happened to a buddy of mine a few months later in the same area where he was sitting watching the landscape and looked over to see a Bobcat staring right at him ready to pounce.
I think I can say I have seen most animals in North America except for the elusive mountain lion and the majestic wolf. Had a badger stand up on it's back two legs and hiss and then try to attack me and the horse I was on! Ballsy little bastard!