Arthur Avenue, the main strip of Little Italy in the Bronx, is beautiful and charming and worth a field trip (or multiple field trips). Take the B or D subway to Fordham Road, walk 10 minutes, and you are in a distinctly old-world-feeling pocket of New York.
On one visit, I went in and out of stores taking pictures. Many of them were dedicated to what looked like very good food.
In my life, the main times I recall hearing the term “meat market” were in college, in reference, say, to a particular type of bar or club, but in Little Italy the term is to be taken literally and gastronomically. Also: I love that there is a shop with the words “pork store” in its name.