Geographic Puzzler

Kudos to NPR's Car Talk guys for this interesting puzzler:
"There is only one city in the United States whereby traveling along the four compass points, the first state you reach is the same--no matter which direction you choose. Name the city and the state."
While there may be only one "city" that fits this description (answer Friday), I found at least one additional location in America that fits this description. There may be more.... do you know of any? (Thanks to Al Cyclone for pointing out this great riddle!)

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