Holland America offers cruises to Australia from the United States. They also have circumnavigation cruises around Australia, Christmas cruises, and cruises to the US from Australia. See the schedule of departures below.
Holland America Line is known for long cruises to exotic destinations, spacious mid-size ships, and well-appointed staterooms. It is rated as a "premium" line -- nicer than economy ships but not as expensive or plush as luxury ships.