Is this a thing anywhere else?

[Sanctimoniously]

In Monroe, Louisiana, there are two streets, Edwards Street and Williams Street, that are seemingly disconnected from the rest of the city streets, despite being surrounded by them. A concrete driveway connects Edwards Street to Washington Street.

Aerial: http://goo.gl/maps/BkGFI

Street View from Washington Street: http://goo.gl/maps/Lrcvq (Note that there's only a Washington Street sign blade.)

Street View of Edwards and Williams Street intersection: http://goo.gl/maps/9I2Si (Those street blades must be TBORS material.)

Growing up and driving by this area, I always found it very interesting, almost like a little enclave. Are there any other occurrences like this anywhere else?

[NE2]

Pretty normal when a new road cuts through an outlying section of an older grid.

[DTComposer]

Historic Aerials gives you a good idea what the streets were like before Washington Street came through:

http://www.historicaerials.com/aerials.php?scale=6.42391693199087E-6&lat=32.5184581890527&lon=-92.0999972277827&year=1969