Technically it's "Los Angeles Plays Itself".

This may seem pedantic, but it's a point made in the movie itself: "The acronym functions here as a slightly derisive diminutive. Now it’s become second nature, even to people who live here. Maybe we adopted it as a way of immunizing ourselves against the implicit scorn, but it still makes me cringe. Only a city with an inferiority complex would allow it."

(Also it turns out there was already a film called "LA Plays Itself") http://www.standardhotels.com/culture/whatever-you-do-dont-c...