Wyoming varies a bit, but in general we have all of September for archery, and then we can hunt during rifle season. I generally spend September in the high country for elk, and then come down to the lower ground for whitetails and turkeys during gun season. Lots of antelope areas open mid August, and can run into October. We are limited to one buck deer, but can buy several doe tags. Most elk areas for archery are any elk, but that varies, too.
Where I live, I can hunt whitetails into December, but bucks only through November. From Oct 1 through Oct 15, we can't hunt deer in my neck of the woods, only turkeys.
Wolves are considered 'predators' outside of the area around Yellowstone, and can be hunted without any license, like coyotes. Around Yellowstone, they are 'trophy game' and are hunted on a quota system.
Black bears and mountain lion are on a quota by area. We can't hunt grizzlies yet, even if they can hunt us.
Are you confused yet??