Fudan covers the comprehensive and medical ground, Shanghai Jiao Tong covers engineering, medicine and business, Tongji is the reference for architecture, civil engineering and vehicle design, and East China Normal covers education and Chinese language. Four universities, but between them they reach most of the subjects international students actually apply for.
Shanghai's advantage is the seam between the campus and the industry. Finance in Lujiazui, biotech in Zhangjiang, automotive in Jiading, design and media across the former concession districts — internships exist in the subject you are studying rather than adjacent to it. It is also the city where a student can function in English for months at a time, which is either a comfort or a trap depending on whether you intend to learn Chinese.