My top 6 would be
1. Adventures of an Elephant Hunter, James Sutherland
2. Months of the Sun, Ian Nyschens
3. Wanderings of an Elephant Hunter, WDM Bell
4. Big Game Hunting in Central Africa, Buckley
5. Mtanda Batho: Hunter and Adventurer (Dream Africa Publishers (2013) Enlarged work of Jungle Man, by P.J. Pretorius
6. Hunting the Dangerous Game of Africa, John Kingsley Heath
It's a while since i read Sutherland's book but it has stuck with me as probably the best although it is much shorter than Nyschen's which is a truly amazing account of the thrill and dangers of elephant hunting.
Bell's book is a classic in many ways, not only for his marksmanship and hunting prowess but his sheer pioneering spirit and the extent to which he hunted Africa.
Buckley's book is another excellent read.
The 2013 book about P J Pretorius also tells of his amazing exploits as a scout in the great war.
JK Heath's account of how he survived an attack by a lion is just one of a number of remarkable stories.