What is a correct overpass-turbo query for getting all streets in a city?

I want to get all streets in NYC using http://overpass-turbo.eu/. I tried this:

[out:json]; area[name = "New York"]; (node(area)[highway=street]; ); out;

However it returns

{
  "version": 0.6,
  "generator": "Overpass API 0.7.55.1009 5e627b63",
  "osm3s": {
    "timestamp_osm_base": "2019-11-13T19:26:03Z",
    "timestamp_areas_base": "2019-11-13T18:05:02Z",
    "copyright": "The data included in this document is from www.openstreetmap.org. The data is made available under ODbL."
  },
  "elements": [



  ]
}

No elements. However this query:

[out:json]; area[name = "New York"]; ( node(area)[amenity=cinema]; node(area)[highway=street]; ); out;

for getting streets and cinemas, works:

{
  "version": 0.6,
  "generator": "Overpass API 0.7.55.1009 5e627b63",
  "osm3s": {
    "timestamp_osm_base": "2019-11-13T19:29:02Z",
    "timestamp_areas_base": "2019-11-13T18:05:02Z",
    "copyright": "The data included in this document is from www.openstreetmap.org. The data is made available under ODbL."
  },
  "elements": [

{
  "type": "node",
  "id": 344994897,
  "lat": 41.7680892,
  "lon": -73.9291000,
  "tags": {
    "amenity": "cinema",
    "created_by": "Potlatch 0.10f",
    "name": "Roosevelt Theater"
  }
},
...

How should I modify the initial query to get the streets?