Perissodactyla (odd-toed ungulates) 

Life > Eukaryotes > Opisthokonta > Metazoa (animals) > Bilateria > Deuterostomia > Chordata > Craniata > Vertebrata (vertebrates)  > Gnathostomata (jawed vertebrates) > Teleostomi (teleost fish) > Osteichthyes (bony fish) > Class: Sarcopterygii (lobe-finned fish) > Stegocephalia (terrestrial vertebrates) > Reptiliomorpha > Amniota > Synapsida (mammal-like reptiles) > Therapsida > Theriodontia >  Cynodontia > Mammalia (mammals) > Placentalia (placental mammals) > Laurasiatheria > Ferungulata > Paraxonia

Families indigenous to southern Africa 

Equidae (horses, zebras and donkeys) Native to Africa and Asia.
Rhinocerotidae (rhinoceroses) Native to Africa and SE Asia.

Families not indigenous to southern Africa: Tapiridae (tapirs) Native to Central America, South America and SE Asia.