Although probably not the weirdest, I encountered an eye popping coincidence a few days ago that really made me wonder...
Earlier that day I looked up the definition of Stockholm Syndrome since a couple bands I listen to have songs of the same name. I always had an urge to know the defintion, but for some reason took action that day. Anyway, that night I'm watching an episode of Futurama that I had never seen before and Stockholm Syndrome is referenced by Fry when he is taken hostage by a robot. Thus, my earlier definition look-up allowed me to understand the Stockholm Syndrome reference in the show. What's creepier is I've never encountered a reference to SS (aside from the songs) prior to that night.