Benin, Burkina Faso, Ghana, and parts of Sudan. Hopefully Angola opens up in the next few years and I've heard that Congo-Brazzaville, Gabon, Chad, and Malawi allow big-game hunting but there aren't any outfitters (for various reasons) in those countries to book with.
Countries like Morocco, Senegal, Gambia, and Tunisia allow bird hunting and you can hunt Warthog and Boar in each of those places.