You’ll want to go .25 at a minimum and and you’ll want to go PCP. Consider the new Hatsan Carnivore in .30 or .35 cal. Good shot count, great accuracy, and plenty of power. If you are wanting to stay with a spring or gas ram gun, then you need to have reasonable expectations on what game you can take. Turkey is ok.. but the other animals you mention need more power for a clean kill.