see under strange bedfellows.
Examples from the Web for odd couple
Contemporary Examples of 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