https://www.physicsforums.com/showthread.php?t=169434
There are many great science (including applied science) and engineering schools in many countries around the world.
In US
Massachusetts Inst of Technology
Stanford University
University of California-Berkeley
California Institute Technology
University of Illinois at Urbana-Champaign
Georgia Institute of Technology
University of Michigan
Cornell University
Carnegie Mellon University
University of Texas at Austin
Purdue University
University of California- San Diego
University of California- Los Angeles
Texas A&M University
Princeton University
Pennsylvania State University
University of Wisconsin-Madison
University of Maryland College Park
Harvard University
University of California-Santa Barbara
University of Southern California
University of Minnesota
Northwestern University
Johns Hopkins University
Virginia Polytech Inst & State University
Ohio State University
University of Virginia
Columbia University (FU)
University of Pennsylvania
Duke University
Rensselaer Polytechnic Inst
North Carolina State University
Rice University
University of Washington
University of Florida
University of California-Davis
Washington University -St. Louis
Yale University
University of Massachusetts at Amherst
Michigan State University
Iowa State University
University of Arizona
University of California-Irvine
University of Colorado-Boulder
Case Western Reserve University
Rutgers State University-New Brunswick
University of Notre Dame
Lehigh university
Northeastern University
University of Rochester
University of Delaware
University of Iowa
Brown University
Arizona State University
Drexel University
In Canada
University Of Waterloo, Ontario
University Of Toronto, Ontario
Mcgill University, Montreal, Quebec
Simon Fraser University, Burnaby, British Columbia
Carleton University, Ottawa, Ontario
Universite De Montreal, Quebec
Queens University, Kingston, Ontario
University Of British Columbia, Vancouver, British Columbia
Concordia University, Montreal, Quebec
University Of Alberta, Edmonton, Alberta
University Of Victoria, B.C.
University Of Calgary, Alberta
University Of Saskatchewan, Saskatoon
York University
University Of Western Ontario
Mcmaster University
Universite Du Quebec
Ecole Polytechnique Montreal
University Of Windsor
France
Inria, Valbonne ,
Centre National De La Rech Sc.
Universite Paris,
Ecole Normale Superieure,
Lgi IMAG
India
Indian Institute of Science
IIT Bombay
IIT Kanpur
IIT Delhi
IIT Kharagpur
IIT Chennai
Italy
Politechico Di Milano, Milano,
Universita Di Roma, Rome,
Politechico Di Ttornio
University Of Bologna,
Universita Di Firenze,
Universita Di Pisa,
Universita Di Torino,
Universita Di Milano,
Universita Degli Studi Di Padova,
Universita Di Salerno,
Istituto Di Elaboraz. Pisa,
Universita Di Genova,
Japan
Kyoto University, Japan
University OF Tokyo, Japan
Hiroshima University, Japan
Osaka University, Japan
Taiwan
National Tsing-Hua University
National Chiao Tung University
National Taiwan University
National Central University
National Taiwan Institute Of Technology
National Cheng-Kkung University
Germany
University Of Karlsruhe
Universität Des Saarlandes
Universität Dortmund
Technische Universität Berlin
RWTH Aachen
UK
University of Cambridge
University of Oxford
Bristol
Warwick
London, Imperial
Sheffield
Southampton
London, UCL
Edinburgh
York
Australia
University OF Queensland
Monash University
Curtin University of Technology
University of Technology, Sydney
RMIT University (Australia)
Victoria University of Technology
University of South Australia
China
Hohai University
University of Science & Technology of China
Hong Kong Polytechnic University
Beijing University of Posts & Telecommunications
South China University of Technology
Huazhong University of Science & Technology
Singapore
Nanyang Technological University
National University of Singapore