You might try the following sites; some are free, some with a fee.

Migrant Ships Arriving in Australian Ports
members.iinet.net.au/~perthdps/shipping/mig-sa1.htm

AUSNZ Passenger Lists
www.list.jaunay.com/ausnzpassengers/

Shipping and Passenger Records
www.ballaratgenealogy.org.au/ships/index.html

Ancestors Onboard
www.ancestorsonboard.com/HomePageController.action

Findmypast
www.findmypast.co.uk/welcome.jsp?_zga_s=1

I have others - let me know if you are interested.