Welcome to Florida...it IS a tropical place, part swamp, part pine scrub. While some people might freak out at the prevalence of animal and insect life down here, others actually like that about the place. But no question, in Florida you have to just accept the probability that you will encounter wildlife of some form every day. A list of very common things you'll see down here:
Snakes - dozens of varieties, but a majority not poisonous - ranging from 3-inch Brahman Blind Snakes to 20-foot pythons.
Lizards - also dozens of varieties, all harmless - ranging from tiny 3-inch anoles to huge 6-foot iguanas.
Bufo toads - these guys are big, lazy, and make quite a racket at night. They love to croak by the waterside, and are basically harmless unless you decide to lick the skin secretion they make to defend themselves - which is a highly powerful hallucinogenic that can kill small animals.
Opossum - Harmless unless cornered, will run away from you when possible, or keel over sideways in mock death until you leave. Dumb as a stump.
Raccoon - Usually harmless, though misunderstood bites occur from feeding them. They are curious, intelligent, manipulative, troublesome, and cute.
Armadillo - Also dump as a stump - basically a possum in a shell.
Rabbits - Cute, shy, and quiet.
Birds - a Bazgillion different kinds, from hummingbirds to 7-foot-wingspan raptors to stilty waders to underwater divers.
Bats - Usually unseen, though occasional nighttime collisions from bats too distracted chasing bugs to notice they are about to collide with an intersecting human. The bat will flee the scene in just as much fear as the human probably does.
Deer - Usually smallish, usually shy, occasionally known to bust through plate glass windows at local coffee shops during rutting season.
Alligators - Our resident dinosaurs...usually shy and unaggressive, and generally attempt to avoid human interaction...though feeding them often breaks down the safety wall between them and us and connects food to humans. Nary a body of water exists in the state that a gator hasn't lived in, doesn't currently live in, or won't live in in the future.
Bugs - forget trying to name or count all the bugs you'll see here! Sufficeth to say, whereever you are in Florida, there are likely at least 10 bugs in the 5-square-feet of space you are standing in. Mosquitos big enough to pick up a cat and flying in clouds thick enough to show up on radar, roaches with deceivingly pretty names (palmetto bugs) that are big enough to open automatic doors at supermarkets when they walk up to them (and even better - our roaches can FLY!), beetles as big as Volkswagen Beetles, Spiders the size of fists that build webs as strong as soccer nets, ants the size of sand grains that have bites that feel like acid burns and colonies vast enough to pick up your refrigerator and march it out of the house, grasshoppers big enough to pass for farming machinery, the ironically named love bugs, which are some of the most hated and worthless bugs in Florida for their propensity to splat on windshields and land on white clothing where their tissue-paper-thin skin rips open if you try to brush them away, leaving you with a polka-dotted shirt, white-footed ants that eat electric wiring (that's not an exxageration!), and cicadas that fill the trees and crank out a noise that could drown out a rock concert (and our cicadas don't sleep in the ground for 7 years then come out - they're 'annual' cicadas...here every year for your listening pleasure!).
In fact, it's rather shocking that you don't have thousands more encounters at Disney World. But it is Florida, and you WILL have encounters. The good news is that nearly every one of your encounters with animals or insects in Florida will be of no harm to you, and most will leave the animal more frightened than you were.