From the 27/8, Newegg now offers free shipping to Australia using the World EggSaver Standard option across most of their products.
There doesn't seem to be any official announcement but I've checked quite a few items to confirm that its now active.
E.g. Cryorig M9a CPU cooler is $42 shipped from PCCaseGear and $30.65 from Newegg - Technically slightly cheaper if you can pick up but $2 extra is worth it to avoid the drive.
UPDATE: Official announcement here: https://www.newegg.com/promotions/marketplace/2018/18-2562/l…
Please note that there are exclusions, such as bulky computer cases.
Some listings do not qualify for "Eggsaver" shipping and this will be shown in your shopping cart.
They have certain parts and software that is from Australia. So that should be correct but anything from the US depot it looks like they're charging a little extra on GST just like Amazon and Ebay have. Have to talk to customer support to get it sorted.