(One particularly heavy rainstorm drove some rattlesnakes up to our elevation. But that was very, very unusual.)
Before moving here, though, The Missus and I lived over on the other (older) side of town. A wooded area abutted our back yard, true, but it was enclosed by shopping centers, apartment complexes, and the like. We had a good number of feral cats, which we caught, neutered, and re-released. But otherwise (and not counting everyday North Florida fauna like opossums, little lizards and frogs), nada.
Except the raccoons.