According to the recently released QS World University Rankings 2013 of universities on this planet, the University of Cambridge ranks third behind MIT (#1) and Harvard (#3). Oxford is #6.
The first German university on the list is Heidelberg on #50, followed by TU Munich (#53) and LMU Munich (#65). The University of Hamburg ranks #186 and Kiel University scores #293.
Across Swedish universities, Chalmers is #5 ranking overall #202.