There are many international rankings/lists for universities (e.g. QS ranking). However, I am interested in an science institute ranking/list that does not involve universities.
Let me give you an idea of what I am searching for: I am from Germany and I know that a major part of scientific progress is happening in universities. Nevertheless there are institutions such as Max-Planck-Institute for Mathematics (Germany), or German Aerospace Center (DLR), or Weizmann Institute of Science (Israel), or CERN (Switzerland), or Perimeter Institute for Theoretical Physics (Canada), with great significance in science. These institutions do not appear in any ranking, any list of science institutes, or my Google search for "science institutes".
So where can I find a list of such institutions, e.g. by subject?
Question background: (1) I am curious in general to find a list/ranking that includes such non-teaching institutions too. (2) I went for several internships to science institutes, e.g. DLR/CERN. I am in my bachelor studies and currently searching for new internship opportunities during the summer vacation period. There are a lot of great opportunities in Germany, but I would like to spend this summer in some foreign institute (that is not an university) - to gain international experiences and because German scholarships (ironically) only financially support internships that are in foreign countries. However, in this context I am struggling to find such institutes... For example: I was looking for science institutes in Japan, but I only found the main universities.
Important Note: The ranking is not the important thing to me, but a list to have an overview!