Genoa

City · c. 1010 CE · in Europe

Capital of Republic of Genoa (1010–1795), Ligurian Republic (1797–1805).

Tortosa (c. 1010 CE): Capital of Taifa of Tortosa (1010–1099).
Pisa (c. 1010 CE): Capital of Republic of Pisa (1010–1401).
Nevers (c. 1010 CE): Capital of County of Nevers (1010–1520).
Dénia (c. 1010 CE): Capital of Taifa of Dénia (1010–1227).
Thang Long (Hanoi) (1010 CE): Emperor Lý Thái To moved the capital of Dai Viet to Thang Long in 1010; the city is now Hanoi, capital of Vietnam.
Qal'at Bani Hammad (1007–1090 CE): Capital of Hammadid Dynasty (1018–1151).
Kazan (1005 CE): Capital of Khanate of Kazan (1440–1551).
Almería (c. 1015 CE): Capital of Taifa of Almería (1015–1147).
Murcia (c. 1015 CE): Capital of Taifa of Murcia (1015–1249).
Huelva (c. 1015 CE): Capital of Taifa of Saltés and Huelva (1015–1051).

Around the same time and place

Reconquista (718–1492 CE): Centuries-long series of campaigns by Christian kingdoms to take the Iberian Peninsula from Muslim rule, ending with the fall of Granada in 1492.
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.
William the Conqueror (c. 1028 CE – 1087 CE): Duke of Normandy who conquered England in 1066 and became its first Norman king.
Trier (16 BCE – 1618 CE): Capital of Electorate of Trier (1333–1618).
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.
Amalfi (c. 960 CE): Capital of Republic of Amalfi (960–1033).
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).