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There are still delays that postal services will never let go of
> Suspension of Priority Mail Express International Guarantee
>  >Australia
https://about.usps.com/newsroom/service-alerts/international/welcome.htm

The fastest way to move something is a courier if you cannot wait. Shipito* use to be good for their Australian courier service, but slow as fuck at peak times and the costs of this service does add up. It can still be good when sellers on eBay add up multiple postage costs for multiple items without a discount or use that terrible package forwarding company that eBay uses (that strips the packaging for damage items a lot of the time to save costs).

*Anything that requires special clearance like a battery (special packaging) or other item requiring an import clearance avoid a courier. Their fees can be higher if the item requires special import clearance, which you can lodge yourself if you're using Standard Airmail with Australian Customs.