3,485 Greece Born - FREE Michigan Marriage Records
FamilySearch.org has two databases of FREE Michigan Marriage Records with 3,485 people who listed Greece as their place of birth.
61 of these records are for marriages that took place in the 1800's.
The databases are:
Michigan, Marriages, 1868-1925
Michigan, Marriages, 1822-1995
You can read more about each of these databases on the FamilySearch.org wiki.