ILIGANthere are loads of great universities outside the UK, and the US has the most of them. Schools like Harvard, Stanford, Yale, MIT, Berkeley, Princeton, Caltech, Columbia, Duke, among others, are certainly great universities with global recognition and respect. But of course, there are just as great in other countries, though of lesser prominence especially those in Europe due to the language barriers. Here are some unis that are worth mentioning when looking for a great university.
US: Ivy League schools, Berkeley, Caltech, Duke, Michigan, Northwestern, Chicago, Rice, Emory, Amherst, Williams, Sharthmore, Harvey Mudd, among others
Australia: Australian National University, U of Melbourne, U of Sydney, Monash, U of New South Wales, Curtain U of Technology, among others
Japan: U of Tokyo, U of Kyoto, Sophia, Waseda, Tohuko, Kioe, Tokyo Insitute of Tech, among others
China / Hong Kong: Peking, Fudan, Nanjing, Tsinghua, Shanghai Jiaotong, Beijing Normal, U of Hong Kong, Chinese U of HK, HK Baptist U, HKUST among others
the rest of Asia: Seoul National U, KAIST, National Taiwan U, Chulalongkorn (Thailand), National U of Singapore, Nanyang (Singapore), Singapore Management U, U of the Philippines, De La Salle U (Philippines), Ateneo de Manila, U of Malaya, U Putra Malaysia, U Sains Malaysia, among others