On the same £65,000 gross, a worker takes home roughly $5,900 more per year in Australia than in United Kingdom. That gap reflects the tax structure alone — before rent, healthcare, or savings behaviour come into play.
Housing is the first multiplier. United Kingdom has high rent pressure, while Australia has very high rent pressure. That keeps Australia's nominal advantage closer to a real-world advantage.
Healthcare and pensions go in the opposite direction. United Kingdom runs a universal healthcare model — NHS provides universal care funded from general taxation, with private top-ups. Australia uses a universal model — Medicare gives universal access; private cover speeds up elective care. The country with lower take-home often shifts costs that the other country leaves to your private budget.
Net-of-everything, a relocation decision should weigh strong public welfare in United Kingdom against strong public welfare in Australia, plus differences in pension capture, social safety nets, and city-level cost of living.