Looking online, I found this discussion on Apple's forums and the consensus among these users is that Genius playlists stopped working for any song released after April 2010.
I tried the following songs that did not produce playlists:
- Come Together, Abbey Road, Beatles - Released on iTunes November 2010
- Perform This Way, Weird Al Yankovic - Released April 2011
- Black Sheep, Scott Pilgrim Vs the World, Metric - Released August 2010
- Bad Romance, Lady GaGa - Released October 2009
- Crossroads, 2NU, This is Ponderous - Sometime in the 90's
- CNR, Weird Al Yankovic - August 2009
From the Apple discussion previously referenced:
Genius playlists are a good feature that need to be fixed.