As per your request here I am providing you the lists of top and best universities or colleges of the world from where you can do your mechanical engineering degree. Please check the below list of universities:

The list includes:

Massachusetts Institute of Technology (MIT)
Stanford University
University of Cambridge
University of California, Berkeley (UCB)
University of Michigan
Imperial College London
Georgia Institute of Technology
National University of Singapore (NUS)
University of Oxford
Harvard University
California Institute of Technology (Caltech)
RWTH Aachen University
Purdue University
The University of Tokyo
ETH Zurich - Swiss Federal Institute of Technology
Tsinghua University
Delft University of Technology
Nanyang Technological University, Singapore (NTU)
Technische Universität München
University of Illinois at Urbana-Champaign
University of California, Los Angeles (UCLA)
Politecnico di Milano
The University of Melbourne
Northwestern University
KTH Royal Institute of Technology
KAIST - Korea Advanced Institute of Science & Technology
Cranfield University
Cornell University
Monash University
Seoul National University
The Hong Kong University of Science and Technology
Shanghai Jiao Tong University
The University of Sydney
Princeton University
Tokyo Institute of Technology
University of Toronto
The University of New South Wales (UNSW Australia)
Pennsylvania State University
McGill University
Kyoto University
The University of Manchester
Texas A&M University
Universität Stuttgart
Technische Universität Darmstadt
Virginia Polytechnic Institute and State University
KIT, Karlsruhe Institute of Technology
Peking University
The University of Hong Kong
EPFL (Ecole Polytechnique Fédérale de Lausanne)
Technische Universität Berlin