I believe, though I am not sure, that shish kebab more often has vegetables in between the chunks of meat on the stick, whereas your doner kebab is the gyro/shaved meatloaf thing I described. Souvlaki is not really supposed to have vegetables on the stick, at least not when done the way American Greeks do it.

It's easier to get souvlaki as fast food here because you can set up a stand and cook meat onna stick in relatively little space, whereas the spinny thing you need for a gyro is a little more complicated. However, these days they sell pre-formed gyro strips, which is lame but which means an enterprising stand owner can produce them on a street corner too.

We didn't have hot dog stands in Astoria, the way most of the rest of New York did. We had souvlaki sellers.