The cheapest (although not most legal) would to be an asylum seeker, or something dodgy like that. You would have the problem of being put in prison for a while...
You could try rowing a boat or something, but pack plenty of food. You could also just become and then get Virgin Airlines to sponsor your trip.
On a more serious note, JetStar go from Australia to HonoLulu (dont know where that is), and Qantas does trips to all sorts of places.
My recommendation is to get a one-way ticket. Once you come to Australia, you wont want to go back.
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