Here's a nice synchronicity that happened to me recently. I'll preface this by saying that while I study these experiences for a living, my daily life is as mundane as anyone else's, and I tend not to be permeated by wildly improbable psychic events. (Except in the lab sometimes.)
My wife and I tend to work on our PCs at night while watching TV. Most TV is so banal that it takes 1% of our attention to track a show. The other 99% is devoted to email and other PC-related work (and the dogs, and each other). Our PCs are setup in such a way that we can't see each other's screens.
So I'm scanning through dozens of emails, and I see one from a colleague who says he's updating a book he's written on deja vu, and he's calling it Deja Vu Revisited. I'm thinking that's a clever title when suddenly my wife says out loud, "I'm having the strongest deja vu." I laugh in amusement at this beautifully recursive moment. A synchronicity about a deja vu. My wife is delighted too.
I don't recall any previous time, under any circumstance, when my wife spontaneously reported a deja vu; nor does she recall one. Was this a mere coincidence? Sure didn't feel like it.