Jessie put a comment on my post about the Annual Mennonite Conference here in Tasmania asking for info about the Mennonites. I thought I'd post the info here (rather than just replying to the comment) in case any one else is interested.
The only Conservative Mennonite church I know of in Australia is here in Deloraine Tasmania. I think there are other Mennonites around the country, but I do not know of any other churches. The contact address for the Deloraine Mennonite Fellowship is:
PO Box 330
Joseph van Loon in Deloraine also has a lot of info and sermons from Conservative Mennonite churches on his Conservative Australian Mennonites website HERE.
Another Anabaptist site you might be interested in is the Australian Christian Brotherhood. They have a church in Gympie Queensland and there website is HERE.
And there is also the Rocky Cape Christian Community in Tasmania. They are Hutterites (another branch of Anabaptists) and there website is HERE.
Hope this info is a help and of interest.