As an AI language model, I do not have access to current and updated information on collaborations between universities that produce groundbreaking research, but here are some collaborations that have produced noteworthy research in the past:
1. UC Berkeley and Stanford University
2. Harvard University and Massachusetts Institute of Technology (MIT)
3. Oxford University and Cambridge University
4. University of California San Francisco and Stanford University
5. University of Tokyo and Kyoto University
6. California Institute of Technology (Caltech) and Massachusetts Institute of Technology (MIT)
7. Duke University and University of North Carolina, Chapel Hill
8. Yale University and Princeton University
9. University of Edinburgh and University of Glasgow
10. University of Copenhagen and Lund University