If you have ancestors that migrated to Australia you might be interested in the National Library of Australia’s “Historic Australian Newspapers, 1803 to 1954” online. As of November 21, 2009 there are 33 newspapers online, 920,989 pages consisting of 9,130,178 articles available to search.
I did a search on the word “Greek” and got 69,896 results. Try searching on your family name.
Good luck with your Greek family genealogy research.
A resource for Greek genealogy research