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. Australia has very high rent pressure, while United Kingdom has high rent pressure. That means part of the higher take-home in Australia can be absorbed by rent if you land in a major city.
Healthcare and pensions go in the opposite direction. Australia runs a universal healthcare model — Medicare gives universal access; private cover speeds up elective care. United Kingdom uses a universal model — NHS provides universal care funded from general taxation, with private top-ups. 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 Australia against strong public welfare in United Kingdom, plus differences in pension capture, social safety nets, and city-level cost of living.