It would seem like hunting in the states is the preserve of the lucky (to get a tag in many states) or the rich who can afford to hunt on private land where the cost is the same as an African adventure.
Sooooooo easy to get a rifle and a license in the USA but soooooo hard to hunt something with it!
But I could be mistaken...
It boils down to what and where you want to hunt. What kind of accommodations you want. And whether you are wanting bragging rights or meat in the freezer.
Yes. It is easy (relatively speaking and as compared to some other countries) to purchase a firearm and ammo.
Yes. Getting a license/permit is luck or resilience, and rather expensive, to hunt certain states, and/or specific areas in those states for certain species of big game.
Whitetail and mule deer are in a way comparative to hunting impala, blessbok, or springbok in Africa, as to their abundance but not in the way you would see in herds.
Black bear, hogs, turkey, antelope are also quite common in certain areas within certain states.
Cougar (aka mountain lion), American bison, elk (and the various sub species), javelin, sheep and goat are hunted in various states west of the Mississippi river, however over the last several decades western elk have/are being reintroduced and hunted into several eastern states where once eastern elk (long extinct) roamed.
For such expensive western hunts, or hunting with a tape measure for a record book animal, many hunters must save and plan much the same as if they were planning an African safari.
Myself as an example: I live in Tennessee. A resident sportsman hunting license cost $166.00 USD + $27.00 for Federal Warefowl Stamp= $193.00
I start the hunting season at dawn September 01 for geese and at noon for dove.
My hunting season ends at sunset on the last day of small game hunting February 28.
Big Game: Region 4 my location:
Deer: 4 only 2 bucks (not including quota hunts)
Black Bear: 1
Hogs: no limit, incidental while hunting or game, no state wide season, by special permit hunting on private property.
Turkey: Fall season limit 1 either sex. Spring season limit 3 bearded only.
Elk: 1 either sex, incidental while deer hunting, outside restricted areas.
There are various types and limits of small game and waterfowl that can be hunted.
Should I choose to travel 3 hours west, hunting in area L, the deer limit is 3 deer per day, however only 2 bucks statewide limit (except quota hunts that don't count toward statewide limits).
For a non resident, all game, not including elk quota hunt and federal waterfowl stamp, $306.00USD. If drawn for the quota elk hunt add $301.00USD and add $27.00USD to hunt waterfowl.
Here in East Tennessee there is the National Forest running the from Virginia state line down to Alabama state and Georgia state lines some 400+ miles long, depending on the boundary line several miles wide. Add to that the various acreages of Tennessee Valley Authority lands, also federal land with most of it huntable.
Then there are 100's of 1000's of state land, Recreational Areas and Wildlife Management Areas available to hunt, some of these lands may require a small fee in addition to a license. Adding up to abundance of public land to hunt, totally free range game.
Different state hunting license(s) can vary in cost and depending on animal one wishes to hunt and how one wants to hunt that animal, as others have already posted, costs go up exponentially.
Texas is the prominent exotic game state for hunting African and European game on game ranches.
The various game ranches may resemble Africa, but they are not Africa.