I have to add a vote for an old-skool place. On Sullivan, just south of Houston St., lives Pino's Prime Meats...
Today, I got me some beautiful neck and shoulder of this Colorado lamb.
Note: It's not cheap.
Pino has been carving up sheep, pigs and cattle since he was a teenager in the Sicilian town of Castrofilippo, and you might say that meat is in his blood. When I asked him about his family, this was his answer: "My grandfather was a butcher. My father was a butcher. My brothers are butchers. My brother-in-law. My sister-in-law. My nephew and my other nephew—butchers. My son is a butcher."