Going on a safari under any circumstances is the experience of a lifetime, but doing it without the company of hundreds of other vehicles can make it a little better. Find a camp that is attached to a private reserve, where you can cruise around without the crowds.
Mara Plains in Kenya, for example, gives guests exclusive access to the 100,000-acre, privately-owned Olare Motorogi Conservancy, meaning you'll explore the wilderness in complete solitude. Except, of course, for the wild animals.