Different from, besides, as in They were shocked to find she has a lover other than her husband. 
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
How to use other than in a sentence
This can lead to an other-than-honorable discharge, a bad-conduct discharge, or a dishonorable discharge.From PTSD to Prison: Why Veterans Become Criminals | Matthew Wolfe | July 28, 2013 | THE DAILY BEAST
And the word “revenge” in this adage is understood to be other-than-literal.
Thus man must live by an other-than-natural law if he is to preserve the family, which is the social unit of civilization.Preaching and Paganism | Albert Parker Fitch
Here outside consumers qua other-than-capitalist are really essential.The Accumulation of Capital | Rosa Luxemburg