938 born in Greece/Turkey - New Jersey, Naturalization records 1905-1944, various counties
FamilySearch.org has a new FREE database titled "New Jersey, Naturalization records from various counties, 1905-1944". It includes 757 people listed as being born in Greece and an additional 181 born in Turkey.
This collection contains naturalization records from the counties of Newark, Trenton, and Camden counties in the state of New Jersey. The federal records are originally housed at The National Archives office in New York.
Detailed information on these records can be found on the FamilySearch.org Wiki - https://www.familysearch.org/wiki/en/United_States,_New_Jersey,_Naturalization_Records_From_Various_Counties_-_FamiySearch_Historical_Records