You most likely cannot do so in any reasonable manner through South-East Asia since you would have to eventually cross either through China, Pakistan or Afghanistan. China is impossible (the do not allow foreign license plates), and Pakistan and Afghanistan are not safe enough to do so.
Just from the countries that you can drive through, you might have to go through Russia by shipping the car to Vladivostok and drive from there. This would also not require you to deal with 5-10 different borders, import duties, license plate issues etc.
Generally I would consider the issues, the damage on the car driving tens of thousands of kilometers through unpaved Russian highways and the fuel consumption. If you sold your car in Australia, take a cheap flight to Europe and buy a used car down there and have a job for the month it would take you to drive over, you might come out not much more expensive.
Generally speaking shipping a car from Australia to Asia might be only a marginal price difference to shipping to from Australia to Europe directly. I would call a freight forwarder and inquire prices.