washington
kansas city
New York, New York. I wonder if there are any other city/states that have the same name.
Mississippi
Veracruz, city and port on the Mexican state of Veracruz.
Wien (Vienna) and Salzburg
Oklahoma has about the same capital as the state name. Its capital is Oklahoma City.
The state of Aguascalientes (both state and its capital city share the same name).
There is no province named after an actual city, unless you're thinking of Quebec and Quebec City
Washington is one
Chicago & New York
Aguascalientes is the name of one of the 31 states that compose Mexico. It is also the name of a city, which happens to be the capital of the state with the same name.
Oklahoma City is the capital of Oklahoma. It is also in Oklahoma County.