Where can I find a service who will research new real estate listings
for properties that fit the criteria I am looking for throughout the
whole country of Australia.  There are a number of real estate sites
that all list different properties, I require a system where the
properties are researched and any property that fits my criteria is
emailed to me within the day that it appears on the real estate sites
as a new listing.

realestate.com.au is Australia's largest online property search, and
offers an email alert service.
http://www.realestate.com.au

* j *

there is a website that offers this sort of service in western
australia.  propertysearch4u.com