This isn't a reincarnation story, it's just a really weird and intriguing one. (and true)
I have this memory from when I was 5. My family had moved to my grandparents dairy farm about a week before this happened; I was wandering around the huge pasture, finding mole and jackrabbit burrows, poking a twig into an ant colony's digs and counting cow-pies when I came upon a small cluster of elm trees. I was startled to see a man standing next to one of them, but he looked very friendly, and he smiled real nice and said "Well, hello, young man."
He asked me what I was doing, and I told him we'd just moved there and I was exploring. He said "Of course; there's a lot to explore here."
I asked his name and he said "Same as yours," but I hadn't told him my name yet, so I responded, "Mickey?" Mickey is my nick-name.
The man laughed and said, "Well, no. It's the same as your real name."
The man looked kind of old to me; balding and a bit wrinkled; and he was dressed all in white. A white shirt and trousers, even his shoes were white, and all of it was very clean and neat.
That seemed out-of-place, unless he was a milk delivery man, so I asked, "Do you have a farm?" He said he wasn't a farmer, he was a traveler. I found that explanation acceptable.
We chatted for only a few more minutes, and then I told him I had to go; it was getting close to dinnertime.
I only occasionally recalled that day over the next 61 years, but I could remember the man's face very distinctly each time. And three years ago, when I looked in the mirror after shaving off my goatee and permanent stubble one morning, that memory suddenly popped in my head, and it hit me....hard.
It was mine. No doubt about it, that man's face was my 63yr-old face.