FamilySearch.org has a FREE database titled "United States Passport Applications, 1795-1925". There are 58 applications for people born in Greece .  An application could include more than one family member (see example above). Description of database: Passport Application, Alabama, United States, source certificate #8168, Passport Applications, January 2, 1906 - March 31, 1925 , 187, NARA microfilm publications M1490 and M1372 (Washington D.C.: National Archives and Records Administration, n.d.).

FamilySearch.org has a FREE database titled UNITED STATES PASSPORT APPLICATIONS, 1795-1925 that includes 4,518 people born in Greece. You will be able to view actual copies of the passport applications. Note:  On December 24, 2014 I made a post based on the Ancestry.com database "United States Passport Applications, 1795-1925" .  This database contained 7,725 people born in Greece.  The database mentioned in my current post may be a sub-set of the records contained in Ancestry.com's. RECORD DESCRIPTION This collection contains United States Passport Applications from two different NARA collections: M1490, and M1372. This collection is currently being indexed and the indexed records are being published. These records usually contain  the following information: Name Application date Application place Birth date Birth place Name of husband or father Husband's or father's birth date Husband's or father's birth place Hu...

Ancestry.com has a database titled "U.S. PASSPORT APPLICATIONS, 1795-1925" .   A search for all passport applications for people born in Greece resulted in 7,725 results.   You will be able to see a copy of the actual application, including a photograph of the person, in most cases. For those of you who do not have a subscription to Ancestry.com, remember that you can access it for FREE at most public libraries. DATABASE DESCRIPTION from Ancestry.com Passport applications from 1795–1925 are contained in this database including emergency passport applications (passports issued abroad) for the years 1877–1925; special passport applications (military, diplomats, civilian federal employees, and dependents), 1914–1925; applications for extension and amendment of passports, 1918–1925; applications for certificates of identity in Germany, 1920–1921; and applications for declarants 1907–1911 and 1914–1920. It also contains passport application registers for...