While I can provide you with a list of courses that have historically been popular among international students seeking to gain Permanent Residency (PR) in Australia, it's important to note that immigration policies and requirements can change over time. It's essential to consult official Australian government sources and immigration authorities for the most up-to-date information. Additionally, gaining PR is not solely dependent on the course you choose; other factors like work experience, language proficiency, and meeting the Skilled Occupation List requirements also play a significant role. With that said, here's a list of courses that have been known to be popular among international students:

Engineering: Courses in various engineering disciplines like civil, mechanical, electrical, and software engineering are often in high demand due to Australia's growing infrastructure and technology sectors.

Information Technology: IT-related courses, including computer science, software development, and cybersecurity, are popular due to the country's focus on technology and innovation.

Nursing and Healthcare: Courses in nursing, medicine, and other healthcare-related fields are valuable due to Australia's aging population and ongoing need for skilled healthcare professionals.

Accounting and Finance: Courses in accounting, finance, and related fields are often in demand as they contribute to the financial sector and business growth.

Social Work and Community Services: With a focus on welfare and social services, these courses can lead to rewarding careers and often align with Australia's social priorities.

Education and Teaching: Courses that lead to qualifications for teaching in Australian schools are valuable, as there is a constant demand for qualified educators.

Trade Skills and Vocational Courses: Courses in trades such as plumbing, carpentry, and electrical work can lead to job opportunities in various industries.

Architecture and Construction Management: These courses are relevant to Australia's ongoing urban development and construction projects.

Environmental Sciences: With increasing awareness of environmental issues, courses in environmental science, sustainability, and related fields are becoming more valuable.

Project Management: Courses in project management are applicable to various industries and can be a pathway to PR, especially if combined with relevant work experience.

Remember, it's not just about the course you choose, but also your commitment to studying and working in Australia, language proficiency, meeting PR requirements, and fulfilling visa conditions. The Australian government has specific pathways for international students to transition from study visas to PR, such as the Temporary Graduate visa (subclass 485) and the General Skilled Migration (GSM) program. Always consult the official Australian Department of Home Affairs website for the latest information on immigration policies and PR pathways.