Huế

City · c. 1572 CE · in Southeast Asia

Capital of Nguyễn lords (1572–1774), Tây Son dynasty (1789–1802), Nguyễn dynasty (1802–1884).

Mysore (c. 1572 CE): Capital of Kingdom of Mysore (1572–1799).
Kraków (c. 1572 CE): Capital of Polish-Lithuanian Commonwealth (1572–1596), Free City of Krakow (1815–1845).
Amritsar (1574 CE): Capital of Sikh Confederacy (1762–1799).
Caracas (1567 CE): Capital of Republic of Venezuela (1811–1814), Venezuela (1834–today).
Valletta (1566 CE): Capital of Malta (1967–today).
Tegucigalpa (1578 CE): Capital of Honduras (1840–today).
Vientiane (1560 CE): Capital of Lan Xang (1560–1707), Kingdom of Laos (1956–1975), Communist Laos (1976–today).
Sopore (c. 1586 CE): Capital of Kashmiri Sultanate (1586–1587).
Kotagede (c. 1588 CE): Capital of Mataram Sultanate (1588–1613).
Sonsonate (1553 CE): Capital of United Provinces of Central America (1834–1834).

Around the same time and place

Ayutthaya (1351–1767 CE): Capital of the Siamese kingdom of Ayutthaya, founded in 1351, which became one of the largest and most cosmopolitan cities in Asia before it was destroyed by Burmese forces in 1767.
Manila galleon (western Pacific) (1565–1815 CE): For 250 years Spanish galleons sailed once or twice a year between Manila and Acapulco, exchanging Mexican silver for Chinese silk and porcelain; westbound ships called at Guam, and eastbound ships rode the westerlies across the North Pacific.
Lan Xang (1353–1707 CE): Lao kingdom founded by Fa Ngum in 1353, with its early capital at Luang Prabang; it split into rival kingdoms from 1707.
Manila (1571 CE): Miguel López de Legazpi established Spanish Manila in 1571 on the site of a Muslim polity; it became the hub of the transpacific galleon trade.
Champa (c. 192–1832 CE): Collection of Cham polities along the coast of central and southern Vietnam, founded around 192 CE and gradually absorbed by Dai Viet.
Bayinnaung (1516 CE – 1581 CE): King of Toungoo Burma who built what was probably the largest empire in the history of Southeast Asia, including Ayutthaya and Lan Na.
Portuguese settlement of Macau (c. 1557–1999 CE): Ming authorities allowed Portuguese traders to settle at Macau, which became Europe's longest-held outpost in East Asia.