University

A university is a higher learning, award-granting institution with research and teaching facilities. Most universities are comprised of two or more colleges/departments.

Hoshi Sato was a university professor specializing in linguistics, teaching in Brazil, before she became the communications officer aboard the Earth Starfleet starship Enterprise (NX-01) in 2151. 

Dr. Leonard McCoy was a student at the University of Mississippi when he met the joined-Trill Emony Dax, judging a gymnastics competition on Earth in the mid-2240s. 

Bajor

 * Bajoran Military Academy
 * University of Bajor

Cardassia Prime

 * Cardassian Military Academy
 * Central University
 * University of Culat
 * Culat

Hydran Kingdom

 * Nouratalia Royal University (Nouratalia State University in the mirror universe)

Klingon Empire

 * Klingon Defense Forces Elite Command Academy

Rakellus

 * National Fashion Institute

Romulus

 * University of Ki Baratan
 * Romulan Intelligence Academy

Simpson's Planet

 * Springfield University

Aldebaran Prime

 * University of Aldebaran
 * New Melbourne, Aldebaran Prime
 * Aldebaran Music Academy

Alpha Centauri

 * University of Alpha Centauri
 * Cochrane Institute

Betazed

 * University of Betazed

Earth

 * California Institute of Technology (aka Caltech)
 * California, North America
 * Cambridge University
 * Cambridge, England
 * Columbia University
 * New York City, North America
 * Indiana State University
 * Indiana, North America
 * Kent State University
 * Cleaveland, Ohio, North America
 * The Makropyrios
 * University of Manitoba
 * Manitoba, Canada, North America
 * University of Mississippi
 * Oxford, Mississippi, North America
 * Monash University
 * Melbourne, Australia
 * University of Montreal
 * Montreal, Quebec, North America
 * University of Nairobi
 * Nairobi, Kenya, Africa
 * Princeton University
 * New Jersey, North America
 * Stanford University
 * Palo Alta, California, North America
 * Starfleet Academy
 * San Francisco, California, North America
 * University of Texas
 * Texas, North America
 * Vasteras University
 * Sweden
 * Victoria University
 * Wellington, New Zealand

Regulus III

 * Regulus III Science Academy

Trill

 * Ganses University
 * Kem'alta Institute

Vulcan

 * ShiKahr Academy
 * Vulcan Science Academy

Interstellar

 * Daystrom Institute
 * Annexes include:
 * Galor IV
 * Timsonian Institute
 * Cluster Telpha-Z

Location Unknown

 * University of Copernicus