Because I find them so useful for finding Births, Deaths,Marriages and Burial dates, plus Obituaries and sometimes even photos, I am including links here to free Newspaper Archives around the world. This will obviously be an ongoing project!
Note, the Australian one (TROVE) is down until the 25th of February, as they are doing a major update. After that, it should be back up and running again.
(all states) - www.trove.nla.gov.au/newspaper
The Age (1854-1989)
Port Phillip Herald (1840-1902)
Police Gazette of Western Australia (1876-1900) - http://slwa.wa.gov.au/find/eresources/police_gazettes
(New South Wales)
Sydney Mail (1807-1938)
Sydney Morning Herald (1830-1989)
Nambour Chronicle (1903-1958)
(N.B. You must register to access the newspaper archive, but it is free to do so. Also, while this paper is now listed on the TROVE website, TROVE doesn't have all editions. It is better to come here for Sunshine Coast relatives!)
NEW ZEALAND -
(all) - http://paperspast.natlib.govt.nz/cgi-bin/paperspast?a=p&p=browse&e=-------10--1----0--
(Upper Hutt) - http://newspaperarchives.uhcc.govt.nz/
(all) - http://newspapers.library.wales/