When I am away from Tanzania too long, I listen to Sounds of the Jungle, Plain and Bush - my dogs love the bit when the lions roar. Other CDs of African music that I recommend are:
En Mana Kuoyo by Kenyan Ayub Ogada.
Exile and Beat the Border by Ugandan Geoffrey Oryema. Geoffrey was in his early twenties when his father was assassinated by Idi Amin's government and he narrowly escaped with his life across the border into Kenya.
Muhazi by Rwandan Mighty Popo. I heard the Mighty Popo for the first time at the Vancouver Folk Festival in July of this year. I thought him the star of the festival's finale.
African Voices, a collection compiled by Narada which includes Ayub Ogada.
Wonders of the African World, the soundtrack of PBS' documentary, written and presented by Professor Henry Louis Gates Jr.
Africa, the soundtrack from the National Geographic television series. It includes songs by Ogada and Oryema.