You are better off doing subjects like the sciences (Maths, FM, Chemistry, Bio, Physics) and traditional arts subjects (Economics, Foreign Languages, History, English Lit.) not just for LSE but almost any other top universities over 'soft' subjects like Business, Accounting, Sociology, Media etc...
Ironically, LSE does degrees in History and Sociology and doesn't actually require you to do A-Levels in History and Sociology for the course.