Below is a short list of interesting places to visit during your stay in Kampala:

Kasubi Tombs, Kasubi (a World Heritage Centre) - below rightl
Uganda Museum, Kamwokya
St. Balikuddembe Market, Nakivubo
Kabira Country Club, Bukoto
Speke Resort, Munyonyo
Didi's World, Kansanga (Children's entertainment)
Craft Shops in Buganda Road and at National Theatre
National Theatre, Dewinton Road
Kampala Casino, Kimathi Avenue
Bahai House of Worship, Kikaya Hill - below left