Google News now has versions for Botswana, Ethiopa, Ghana, Kenya, Namibia, Nigeria, Tanzania, Uganda, and Zimbabwe. Previously, the only African version was for South Africa.
All of these are in English.
The Zimbabwe page does not appear to be censored.
Other versions in English are for Australia, Canada (also one in French), India (also Hindi and Tamil), Ireland, New Zealand, the UK, and the US (also in Spanish.) There are versions in fifteen languages other than English.
If you want to see what a country's news media are reporting about that country (and about yours), go to http://news.google.com. Go to the bottom of the page, and see the links to other versions. It's not perfect; for one thing, some of the stories will be taken from sources outside that country. But it's probably the best overview available.
If you suspect the country's press is censored or bias, you may want to also read the pages for nearby countries. For the US, that would be Canada (and Mexico, if you read Spanish.)