Bujumbura

City · 1871 CE · in Sub-Saharan Africa

Capital of Republic of Burundi (1963–2019).

Levuka (c. 1871 CE): Capital of Kingdom of Fiji (1871–1874).
Maseru (1869 CE): Capital of Lesotho (1967–today).
Port Moresby (1873 CE): Capital of Papua New Guinea (1975–today).
Tokyo (1868 CE): Capital of Empire of Japan (1943–1945), Japan (1953–today).
Budapest (c. 1867 CE): Capital of Hungarian Nationalists (1867–1918), Austria-Hungary (1868–1918), Hungarian Republic (1919–1943), and 1 more.
Dessau (c. 1863–2007 CE): Capital of Duchy of Anhalt (1863–1870).
Dar es Salaam (1862 CE): Capital of Tanzania (1964–1996).
Saigon (1862–1976 CE): Capital of French Indochina (1887–1954).
Brazzaville (1880 CE): Capital of Free French (1940–1943).
Sofia (c. 1880 CE): Capital of Principality of Bulgaria (1880–1908), Kingdom of Bulgaria (1947–1947), People's Republic of Bulgaria (1948–1990), and 1 more.

Around the same time and place

Scramble for Africa (1881–1914 CE): Invasion, occupation and partition of almost all of Africa by European powers between the 1880s and 1914, formalised in part at the Berlin Conference of 1884–85.
Burton and Speke’s expedition to Lake Tanganyika (1857–1859 CE): Richard Burton and John Hanning Speke travelled inland from Zanzibar along the caravan route and became the first Europeans to reach Lake Tanganyika. On the return Speke went north alone and reached Lake Victoria, which he took to be the source of the Nile.
Stanley’s search for Livingstone (1871–1872 CE): Sent by the New York Herald, the journalist Henry Morton Stanley led a caravan from Bagamoyo to Ujiji on Lake Tanganyika, where in November 1871 he found David Livingstone, of whom little had been heard for years.
Stanley’s crossing of Africa down the Congo (1874–1877 CE): Stanley circumnavigated Lakes Victoria and Tanganyika, then followed the Lualaba from Nyangwe down the Congo to the Atlantic, showing they were one river. The 999-day expedition was marked by heavy losses and violent clashes along the way.
Bangui (1889 CE): Capital of Central African Republic (1961–today).
Jomo Kenyatta (c. 1897 CE – 1978 CE): Kenyan anti-colonial activist imprisoned by the British, who became Kenya's first prime minister and president after independence in 1963.
Nairobi (1899 CE): Capital of Republic of Kenya (1963–today).
Lilongwe (1902 CE): Capital of Malawi (1975–today).