There's plenty of evidence: Ganzfeld experiments, Princeton Engineering Anomalies Research, Edgar Cayce, and many well-documented anecdotes, such as Lincoln's dream of his death.
The examples you mention here does not aid you in convincing me, you know, or most people around here, I suspect.
http://skepdic.com/ganzfeld.html
These studies were peppered with problems and hardly proves anything, really.
The same goes for
http://skepdic.com/pear.html
And Edgar Cayce... Please... he was as nutty as they come
Lastly, anecdotes, no matter how well documented, are not proof of anything other than that one person spoke and another heard it!
OK, no evidence here. You want to try again?
Because you didn't prove A). Sure, it could be B), but why not C)? Let me throw out another story and ask how you would react if it had happened to you:
"A well-known example of synchronicity is the true story of the French writer Émile Deschamps who in 1805 was treated to some plum pudding by the stranger Monsieur de Fortgibu. Ten years later, he encountered plum pudding on the menu of a Paris restaurant, and wanted to order some, but the waiter told him the last dish had already been served to another customer, who turned out to be de Fortgibu. Many years later in 1832 Émile Deschamps was at a diner, and was once again offered plum pudding. He recalled the earlier incident and told his friends that only de Fortgibu was missing to make the setting complete — and in the same instant the now senile de Fortgibu entered the room." See
http://en.wikipedia.org/wiki/Synchronicity
So? Why would a series of coincidences be any more supernatural than a single one? Exactly what is it that you want to show with this example? Why would this make me believe in the supernatural? I don't get it?
Something similar actually
did happen to me once. I thought it was funny, but didn't think anything more of it.
I had recently finished reading the trilogy of the biblical Joseph by the German author Thomas Mann, and was looking him up on the net to see if he had written any other interesting books. I found out he had written 'Death in Venice' and made a mental note to read it some time.
The next day my mom was going to an antiquarian shop and asked if I wanted to go along, which I did. And as soon as I walked through the door I saw it, Death in Venice by Thomas Mann, so I bought it. It's a thin book so I finished reading it the same day, and as I laid it down I was thinking that it would be fun to watch the film as well. I knew there was a film made.
A few hours later I was lazily flipping through the channels on the TV and suddenly found myself looking at... yes, you guessed it right, the 1971 film Death in Venice by director Luchino Visconti starring Dirk Bogarde.
Now, for the ones who doesn't know this story, it's about an older man falling for a teenage boy, and the film is rather boring actually. Bogarde is basically following the boy around Venice, admiring his beauty from afar, never even speaking to the boy, that's all, and then he dies sitting in a sun chair at the beach. Well, the actor who played the beautiful boy was a Swedish guy called Björn Andrésen who after this film got rather famous for his looks and pretty much nothing else, and it made me wonder what Andrésen would look like today. I looked him up on the Internet and he had only made a few films later in life. Thus I was pretty surprised when I, the very next day, as I was again flipping through channels, stumbled upon one of these films.
Coincidence after coincidence as you can see... It was like, as soon as I wanted to know something that had a connection to this book, the answer was served to me. So, was there anything supernatural about this then? No it wasn't. Those films would have been shown, the book would have been sold at the book shop and so on,
regardless of my curiousity about this book, films and actors. It just became a series of coincidences because I was thinking about these things around the same time. If I hadn't happened to have these thoughts I might have watched both films and read the book without even noticing the connections. Or do you think that book would never have been in that store and the films never scheduled to run on those channels, if
I had not come to think of these things? Now, that's just silly, reality doesn't work that way.
Things like this happens all the time. Why is it supernatural? And if it IS supernatural, then please explain,
IN DETAIL, what kind of supernatural power it is that is at play here? Don't just say it's supernatural, explain WHAT the supernatural consists of here!
So, because the possibilities are -- in your opinion -- endless, you figure it must be just a coincidence? You might want to read Carl Jung's book "Synchronicity: An Acausal Connecting Principle.
Uhhh.. yes!

partly because of that, yes.
And now Jung? So, Jung says so, and then it's true? Jung's ideas about Synchronicity is hardly scientifically valid.
OK, now, would you answer some of my questions?
How do you define 'coincidence'?
Why is it supernatural?
What kind of supernatural is it? How does it work? What does it mean? And so on. You can not give me too much details here!
What's your proof?