The king cheetah eats the same as any other cheetah. This is because the only difference between the king cheetah and other cheetahs is the markings on the coat due to a genetic mutation. Such a genetic mutation has no bearing on what the cheetah eats.
The most authoritative book on the wild cats states:
“…the king cheetah is in fact just an ordinary cheetah with abnormal markings. The king coat pattern is controlled by a single recessive gene; if both parents have the gene, about a quarter of offspring will have the king coat pattern.”
The king cheetah is rare both in the wild and in captivity.
So, in answer to the question in the title, the diet of the king cheetah and all wild cheetahs with the usual pattern will contain the following prey animals in order of most common starting from the top:
- Thompson’s gazelle
- Grant’s gazelle
- Cape hare
- Burchell’s zebra
- Greater kudu
- Roan antelope
- Kori bustard
- African buffalo