The Greeks also never had a major organized criminal network in Greece, America, or anywhere else for that matter. Sure there were Greek nationals who were criminals (every ethnicity has a percentage of that). But they were never a real major force as far as numerical structure goes, or with organizational structure. They operated in small gangs or "pockets" of criminals. Nor were they ever major players in the overall underworld. Probably the largest such pocket existed in the Astoria section of Queens where the Greeks operated a small band of hoodlums led by several different guys over the years, the most well known of which was probably Peter (Pete the Greek) Kourakos who was largely looked upon as the unofficial 1950s-1970s "leader." He was actually affiliated with members of the Tommy Brown crew from Harlem.

After his death another Greek by the name of Spiros Velentzas rose to some prominence and was looked upon as their next local leader. But he too was subservient to the Lucchese crew and operated under the direction of capo Pete Chiodo who was appointed by their administration to look after Spiros.

Other than this particular Greek gang you're hard pressed to find any other major Greeks operating the rackets in NYC or its outer boroughs. Out of state and elsewhere? I'd say its largely the same scenario.

Any other individual Greek hoods were usually tied up with various soldiers of the Five Families or individual mafia regimes, not the so-called "Greek Mob" so to speak, which was largely a fallacy.