I'm sorry my US brothers, clearly I'm bias, but I would have to argue for British Columbia ,Canada.
This is why, I can hunt Whit-Tailed deer, Mule Deer, Black tailed Deer, black bear, cougar, Moose, Caribou, Elk, Mt. Goat, Stone Sheep, Rocky Mt. Big Horn Sheep, Wolf, Lynx, Coyote, and more , all with-in a general open season. Yes there are Limited Entry Hunting seasons for many of these as well, but I can hunt them all with an over the counter tag. I've been lucky enough to take many of these with the longbow, including
3 Mt.Goat, Stone Sheep, Moose, bear, each species of dear, Hog, and more. and not one of those trips cost me more then a couple hundred bucks which was for the most part truck and boat fuel.