I'll probably get a visit from the Australian Secret Tourist Police for saying this to foreigners, but the danger is way overstated.
The last person that died from a spider bite was in 1979. Snakes and spiders mostly just want to left alone. Crocodiles and marine stingers only exist in the tropics, and Sharks only eat ocean swimmers.
I grew up very close to native bush land on the outskirts of Sydney and have never been 'prey' to another creature while playing in the bush.
Of course, I wouldn't have done that if drop-bears [1] were around though.