You may see deer around Walt Disney World. We did, even as tourists. There was a mating pair hanging out in the parking lot for the Ticket and Transportation Center, where there are mild woods around. I also almost ran over a buck more recently on the more-heavily-wooded Western Beltway exit to Disney World, where they are going to build the new value-version of Downtown Disney.
Over in the TTC, I've also seen wild turkeys in the central patch of swamp. That was neat.
But then a couple of weeks ago, I finally saw a live, wild alligator at WDW. You'd think I would see it in the canals that run alongside (and across) the roads. But nope, I saw it within the confines of a theme park. It was just swimming around, loose and carefree, in the central lagoon of DAK (you know, the one between Expedition Everest and Dinoland). It was small - maybe a four footer - but still really neat to see. We were at the Flame Tree BBQ and it was right below us, about ten feet down, and sitting lazily in the water. Cool. I wonder if anyone's ever been bitten by a gator at the parks? Access to that body of water is by and large restricted, but the fences are pretty low-key. If he wanted to, the gator could have found his way to people.