True, you can do it in other parts of Africa but South Africa has one of the higher concentrations of animals with high-quality trails and accommodation along the way.
You can book a safari, but to keep the costs down you can easily rent a car and go at your own pace.
You may encounter a gazelle leaping over your car, a rhinoceros thundering along a gully, an ostrich trotting like a frightened chorus girl, or the real highlight - a herd (sometimes called a memory) of elephants, with adults at the front and rear to protect the young ambling down to a riverbank as the sun sets - majestic and incredibly moving. Oh, and don't forget the daddy of them all, the lions. Just don't leave your vehicle.