>>852030There's a lot of different options actually.
30-30 is a great brush rifle, and if you plan on hunting in the woods, it will serve you very well. 20 gauge shotguns (rifled slugs) are also very nice for hunting in the brush, although you have a more restricted range.
.270 is a very flat shooting round, if you're out west and plan on just hunting deer this is the round for you.
.243 seems to be like a very good in-between range round for deer and hogs. It's something that would do quite well in thick woods or for longer shots in fields.
30-06 is a great all around rifle for larger game. Elk, moose, deer. You can also find a lot of old high quality rifles chambered for this. Old Remington 700's are great, especially ones that you can still use both a scope and iron sights with.
.308 is basically for large game, wouldn't recommend unless you plan on going to Alaska, same goes for 45-70.
.223 is nice for varmint, coyotes, ground hogs, etc.
Check out black powder though, you might end up liking it.