I don’t know that’s really anything worthwhile to actually leave security and Uber for within a convenient ride of JFK (i.e. 5 miles or so).
Personally, I would just hang at the airport, and if you want pizza, try Tagliare (in T2) or Vino (in T4). Neither of which will knock your socks off, or even nudge them slightly down your calves, but they’re certainly not significantly worse than anything within a short Uber ride of JFK (after factoring in the hassle of security, wait time, etc.).
Of course, YMMV.