We have deer (some very large deer), bear, elk, feral hogs, a ridiculous amount of turkeys (eastern, rio), quail (some), ducks, geese, and woodcock. There is a TON of public land in Eastern Oklahoma. Some very dense woods and brush. Some fields. Depends on location. And then there are the lakes. So many good fishing opportunities. Bluegill, crappie, sandbass (white bass to the yanks), hybrid (wipers to the Yanks), stripers, smallmouth, largemouth, mean mouth, Kentuckys (spotted bass), channel, blue, and flathead catfish, pickerel, walleye, sauger, saugeye. And all of them in very good numbers and size.
There are some restrictions on rifles in some locations. But not really that many. Mainly areas close to towns. Those are usually shotgun with pellet and bow only. But there's so much public land not close to towns where one can use a rifle. Oklahoma, Eastern Oklahoma specifically, is truly a hunters paradise.
Sorry I left something out.... what I use. Primarily I'm a bow hunter. Especially for deer. But pigs get the special treatment. Marlin 44 mag, Marlin 444, Marlin 45-70. But you'll see everything from an AR-15 to 338 WinMag in our woods. However the 270, '06 and 7 Mag seem to be the most prevalent. Our woods seem thick. And some are very dense. But many places, even in woods, you can easily shoot 200+ yards through the trees.