The following African leaders are known to have World War 1 links. The list includes those born in the years immediately following the Great War (ie before 1925) as the impact and consquences would have directly affected their experiences. (links are mainly to Wikipedia for a brief overview, but more importantly for the list of references and sources).
1862 – Louis Botha, 27 September (South Africa)
1868 – Fuad I, 26 March (Egypt)
1881 – Muhammad VIII al-Amin, 4 September (Tunisia)
1889 – Idris I, 12 March (Libya)
1891 – Jomo Kenyatta (Kenya)
1892 – Haile Selassie I / Tafari Makonnen Woldemikael, 23 July (Ethiopia)
1895 – Harry Thuku (Kenya)
Sir Milton Augustus Strieby Margai, 7 December (Sierra Leone)
1898 – Hastings Kamuzu Banda, 14 May (Malawi)
1899 – Sobhuza II, 22 July (Swaziland)
1900 – Ismail al-Azhari (Saiyid), 20 October (Sudan)
1902 – Gabriel Léon M’ba, 9 February (Gabon)
Sylvanus Epiphanio Olympio, 6 September (Togo)
1903 – Habib Ben Ali Bourguiba, 3 August (Tunisia)
1904 – Benjamin Nnamdi Azikiwe, 4 November (Nigeria)
1905 – Abeid Amani Karume, 4 August (Zanzibar)
Félix Houphouët-Boigny, 18 October (Ivory Coast)
1906 – Léopold Sédar Senghor, 9 October (Senegal)
1908 – Aden Abdulle Osman Daar, 9 December (Somali)
1909 – Mohammed V, 10 August (Morocco)
Kwame Nkrumah, 19/21 September (Ghana)
1910 – Joseph Kasa-Vubu (Congo)
1912 – Philibert Tsiranana, 18 October (Malagasy)
1914 – Joseph Leabua Jonathan, 30 October (Lesotho)
1915 – Modibo Keïta, 4 June (Mali)
1916 – Hamani Diori, 6 June (Niger)
Coutoucou Hubert Maga, August (Dahomey/Benin)
Hassan Gouled Aptidon, 15 October (Djibouti)
Ahmed Ben Bella, 25 December (Algeria)
1917 – Abbé Fulbert Youlou, June/July (Congo)
1918 – François Tombalbaye, 15 June (Chad)
Nelson Rolihlahla Mandela, 18 July (South Africa)
1919 – Ian Douglas Smith, 8 April (Rhodesia)
Ahmed Abdallah Abderemane, 12 June (Comores)
1920 – Sir Veerasamy Ringadoo, 20 October (Mauritius)
1921 – Sir Seretse Goitsebeng Maphiri Khama, 1 July (Botswana)
Maurice Yaméogo, 31 December (Upper Volta)
1922 – Ahmed Sékou Touré, 9 January (Guinea)
Julius Kambarage Nyerere, 13 April (Tanzania)
António Agostinho Neto, 17 September (Angola)
1923 – Aristides Maria Pereira, 17 November (Cape Verde)
1924 – Francisco Macías Nguema / Mez-m Ngueme / Masie Nguema Biyogo Ñegue Ndong, 1 January (Equatorial Guinea)
Robert Gabriel Mugabe, 21 February (Zimbabwe)
Kenneth David Kaunda, 28 April (Zambia)
Grégoire Kayibanda, 1 May (Rwanda)
Sir Dawda Kairaba Jawar, 6 May (The Gambia)
Ahmadou Babatoura Ahidjo, 24 August (Cameroon)
Moktar Ould Daddah, 25 December (Mauritania)
1925 – Patrice Émery Lumumba, 2 July (Congo)
Apollo Milton Obote, 28 December (Uganda)