The question of whether Australia is still under British rule is a complex one, with a history that dates back to the country's origins as a British colony. While Australia formally became an independent nation in 1901 with the passage of the Commonwealth of Australia Constitution Act, the final ties between Australia and the United Kingdom were not officially severed until the passage of the Australia Act 1986.

According to the Australia–United Kingdom relations Wikipedia page, the Australia Act 1986 was passed by both the Australian and British Parliaments, effectively ending the British Parliament's ability to legislate for Australia. This act was the final step in the process of Australia becoming a fully independent nation, free from British rule.

Despite this formal independence, Australia maintains a close relationship with the United Kingdom, with ties in areas such as trade, defense, and cultural exchange. The two countries share a common language, legal system, and monarch, further solidifying their historical connections.

While some may argue that Australia is still under British influence due to these ties, it is important to recognize that Australia is a sovereign nation with its own government, constitution, and legal system. The passage of the Australia Act 1986 was a significant moment in Australia's history, solidifying its status as an independent nation.

In conclusion, Australia is no longer under British rule, as evidenced by the passage of the Australia Act 1986. While the country maintains a strong relationship with the United Kingdom, it is a fully independent nation with its own government and legal system. The ties between Australia and the United Kingdom are based on shared history and culture, rather than any formal political subjugation.