Depending on your route and how much of a detour you want to take, Flushing Chinatown would be a stop I’d recommend. I don’t know any specific places there, but do some research and you’ll be rewarded.
If it were me, and i were traveling the Belt Pkwy I’d hop off at Exit 9 and hit Brennan and Carr for a hot and wet roast beef sandwich. It’s iconic, nostalgic, you name it.
If roast beef is not your thing, not too far from there is Sahara Turkish restaurant. Great meze, grilled meats, kebabs, sandwiches on “home bread” which is like a fat pita.
I don’t know of anything right in the vicinity of JFK, but those are some options depending on your travel route that are a little different. Well, Flushing Chinatown is not exactly a secret.