I haven't imported a car from the UK (yet) but investigating the same options for my sister who is currently living in the UK on a permanent residency visa and who may be returning to Australia to live in the next 3-5 years.
Short story is that the most rigourous part of the process is proving the ownership of the vehicle. The vehicle has to be owned by and registered to the person who is living in the UK, and they have to hold it for at least a year. The Australian Government will verify ownership through registration documents etc, and will verify the owner resided in the UK during that 12 month period through numerous means including verifying bank/mortgage/title deed records to prove residency and checking their passport to confirm they spent the majority of that time in the UK.
You also need to prove the owner has permanently moved back to Australia, by showing things like title deed / rent payments on a property in Australia, enrolment of their children in an Australian school etc. Having a UK resident own the car for 12 months then try to import it to Australia whilst on a holiday here won't pass scrutiny.
Assuming you can meet the ownership requirements then the rest of the process is easy. There are plenty of reliable shipping agencies who will take care of the paperwork at both ends, the shipping and insurance etc. Complying the car for Australia is fairly easy as long as it's RHD - the aircon needs to be regassed and new tyres fitted in Australia (regardless of the age of either) and a few other criteria ticked off to comply as a Personal Import.
Of course you have to pay the relevant taxes upon import also including LCT, import duties and GST.
The car is fitted with a Personal Import Plate in lieu of a normal Australian Compliance Plate and can then be registered in any state.
Personally unless you're hunting for something particularly rare I don't think that cars worth less than 30K GBP are worth the trouble - there's not enough in the savings to justify the expense. If you're after something not available in Australia (Audi RS3), or something where there are significant savings to be made (Lamborghini Aventador at ~210K GBP versus $689K AUD) and you or a relative meet the criteria then that's a different story.
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