see under strange bedfellows.
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
Examples from the Web for odd couple
This is the storyline of Almost Human, Fox and J.J. Abrams's odd-couple police drama.‘Almost Human’ Review: A Dystopian Future That We’ve Seen Before
November 17, 2013
On the surface it is an odd-couple pairing: the University of Montana Democrat and the Oxford-educated Conservative.Jim Messina’s New Mission: David Cameron
August 3, 2013