Mammals:
The official list of Mammals in the country is 343 species. 133 of these can be classified as large mammals. The small mammals comprise 94 bat species, 70 rats and mice, 33 shrews and otters, 8 gerbils, 4 elephant shrews and 1 golden mole. The large mammals comprise:

Primates (Apes & Monkeys)
Uganda is presently the best location for tracking mountain gorillas, the country boasts a wide variety of primates ranging chimpanzees and several types of monkeys to the tiny wide-eyed bush baby.
All these are easily visible among the wide variety of 343 species of large mammals that the country has to offer.

Apes – the gorilla and the chimpanzee
Monkeys – baboons, patas monkey, vervet monkey, blue monkey, red-tailed monkey, DeBrazza’s monkey, L’Hoest’s monkey, the grey-cheeked Mangabay, the black and white colobus, Angola colobus
Nocturnal primates – Bushbabies and the Poto.

Felines:
The Lion, Leopard, Cheetah, Caracal, African Golden cat, African Wild Cat

Canines:
The side-striped jackal, bat-eared fox, golden jackal, African hunting dog. There are 38 species of canivores, there are Five Canine species, Seven felines, Three hyenas, Ten mongooses, Six mustelids (otters, badgers and weasels), Seven viverrids (civets and genets) and a lot more species.

Antelope: (29 Species)
Large antelopes include the common Eland, Derby’s Eland, Greater Kudu, the Hartebeest, the Defassa Waterbuck, Roan Antelope and the Oryx. Medium-sized antelopes include The Uganda Kob, Bushbuck, Sitatunga, the lesser Kudu, Grant’s Gazelle, Mountain Reedbuck, Bohor Reedbuck and the Impala.

Reptiles:

The Nile Crocodile, the world’s largest reptile is common in most rivers and lakes (Though in depleted numbers). There are hundreds of different lizards and snakes. Snakes are mostly shy and seldom seen. Several types of chameleon are available.

Information from Uganda Wildlife Authority and Makerere Institute of Environmental Studies.