The only kinds of coincidences that we seem to encounter in real life are those of the extremely banal variety: "Oh, I was on that train this morning, too - what a coincidence!" Was it, though? You work in the same building as me. Chances are that you've been on that train every day for the past eight years, Karen.
It's either that, or people seem to be a little confused as to what warrants as a "coincidence" in the first place. Thankfully, we human beings have been around, doing all sorts of things, for a long, long time, which means that - across the span of history - some genuinely interesting (and occasionally mind-blowing) coincidences have taken place, many of which are actually worth hearing about.
Your favourite coincidence might well be that one about the baby who fell out of a window and landed on the same guy twice, years apart, and was miraculously saved on both instances, but there are some cool movie-related ones out there too. Whereas a bunch of these coincidences are perhaps just downright creepy, weird or even ironic, others are mind-blowing in ways that will likely make your brain hurt if you opt to think about them for too long.