Amalfi

City · c. 960 CE · in Europe

Capital of Republic of Amalfi (960–1033).

Khajuraho (c. 960 CE): Capital of Chandela Kingdom (960–1311).
Awantipora (c. 960 CE): Capital of Utpala Dynasty (960–1002).
Lin'an Prefecture (c. 961–1278 CE): Capital of Northern Song (961–1027), Southern Song (1028–1278).
Luxembourg (963 CE): Capital of Duchy of Luxembourg (1429–1449).
Copenhagen (c. 965 CE): Capital of Kingdom of Denmark (965–1406), Kalmar Union (1443–1523), Denmark-Norway (1536–1814).
Kaifeng (c. 951 CE): Capital of Later Zhou (951–960).
Nantes (c. 947 CE): Capital of Duchy of Brittany (947–1491).
Rennes (c. 947 CE): Capital of Duchy of Brittany (947–1491).
Vitebsk (974 CE): Capital of Principality of Vitebsk (1111–1187).
Algiers (944 CE): Capital of Regency of Algiers (1706–1830), Free French (1940–1943), People's Democratic Republic of Algeria (1963–today).

Around the same time and place

Founding of the Holy Roman Empire (962 CE): Pope John XII crowned Otto I emperor in Rome, the conventional start of the Holy Roman Empire, which lasted until 1806.
Trier (16 BCE – 1618 CE): Capital of Electorate of Trier (1333–1618).
Regensburg (c. 911 CE): Capital of Kingdom of Germany (911–961), Holy Roman Empire (1594–1806), Holy Roman Empire Minor States (1594–1806), and 1 more.
Otto the Great (912 CE – 973 CE): German king who defeated the Magyars and was crowned emperor in Rome in 962; he was buried in Magdeburg.
Rouen (c. 922 CE): Capital of Duchy of Normandy (922–1071).
Arles (c. 936 CE): Capital of Kingdom of Arles (936–1378).
Basil II (958 CE – 1025 CE): Byzantine emperor, called the Bulgar Slayer, who conquered the First Bulgarian Empire and brought Byzantium to its medieval height.
Baptism of Poland (966 CE): Duke Mieszko I accepted baptism, bringing Poland into Latin Christendom; the event is traditionally seen as the founding of the Polish state.