The Time Higher Education have published their list of the top 100 universities that have started within the past 50 years. There is a real mixture of countries, with Switzerland, South Korea, Hong Kong the Netherlands, the united States and the United Kingdom all within the top 10. However, overall it is Australia that has the most universities in the list, just outperforming the the UK by one.

You can view the entire list here:
https://www.telegraph.co.uk/education/universityeducation/11570249/Top-100-new-universities-the-list-in-full.html