I only have an acre now we're back in NY and it's all grass, but our property backs up to many acres of town watershed forested land. We used to have lots of turkeys, but none for the last few years. I think bird flu or some other disease killed most of them off. Or maybe the coyotes that seem to sweep through the woods chased them away. Lots of noise from ducks quacking back in the watershed swamp or peeper frogs peeping when we sit in the backyard. We still have a herd of deer that eat their way around the house at night to the point that we've had to have the shrubs sprayed with some green deer repellent each fall. A buck polishing his new rack killed one of our Japanese maples by removing most of it's bark a few years ago. There's been a black bear in the neighborhood, but I've not seen it. A rare sighting of a mink or raccoon, but now its mostly putting up with pileated woodpeckers sounds or squirrels and chipmunks running around the backyard.
Biggest pests have been yellow jack wasps building nests everywhere including inside our mailbox. They seem to be getting worse every year despite paying bug people to spray several times a year. I hate those things having been stung 15 or twenty times while playing cub scout touch football as a kid.
When we lived in California one of our cats had a good scare, he was looking out through the glass of our sliding door when a raccoon decided to attack him and ran full bore into the glass. Scared the heck out the cat (and me too), but the raccoon got the worse of the deal. It sat there for a couple of minutes shaking it's head before wandering off. Glad the door was closed or things could have been interesting.