They are all good universities in Britain, ranking between 15-30, among which the University of Glasgow and the University of Sheffield are slightly better than others. Liverpool University is also very good. All three universities are members of the famous Russell University Group (***20 famous British universities), which is equivalent to the Ivy League in the United States. I recommend these three universities.
As for Newcastle University, the University of East Anglia and the University of Sussex, they are also very good universities and worth reading. In short, it depends on the application, the strength of different majors in different universities, the size and environment of the city and so on.