I’ve seen a lot of pita places (not saying about authenticity, but they exist) and a few other Greek places, but they’re normally lunch / dinner places, not late night places. And for various reasons, lamb isn’t a popular meat critter in the US, although I like a well cooked lamb shank or (if gifted or I have an occasion) a frenched rib roast or leg of lamb!
So, souvlaki is a much more uncommon dish, although for myself, well: