As nouns the difference between uni and varsity
is that uni is university while varsity is university.
uni
English
Etymology 1
.
Etymology 2
.
Noun
(
-)
Sea urchin eaten as sushi.
* The New York Times [http://www.nytimes.com/2013/07/21/travel/in-japan-searching-for-prized-sea-urchins.html?_r=0]
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varsity
English
Noun
university
Derived terms
*junior varsity
*varsity letter
Usage notes
*Used attributively in the UK to describe a sports team representing a university or college, or a match involving such a team.
*Used attributively in the U.S. and Canada to describe a sports team made up of older high school or college students (generally the 3rd and 4th years of a 4-year program), as contrasted with the junior varsity team made up of 1st- and 2nd-year students.