The following is just one of a seemingly endless number of examples of NDE'rs attesting to the continuance of a sense of 'me' or 'I' beyond this physical life.
For the complete account go here and enjoy:As soon as I started to breathe water, my body began to slow down quickly and I realized that I wasn't going to escape. My last thought right before my spirit left the body was "Huh! Dying's not so bad after all!" There was just a moment of panic, then acceptance, and my spirit was out of the body, seeming to leave through the top of my head.
I had a brief glimpse from above, of my body suspended in the river, longish hair floating in the water. The next thing I knew, I was in outer space. There were no stars, just me and this glowing entity (my life). I call this entity the "space slug" because it had kind of an elongated aspect. It was every experience I have ever had. We experience reality in three dimensions tied together with time, which made it a four dimensional object. I remember thinking, wow look at that...four dimensions!
It should be mentioned that I was still me. I never once stopped being me, nor did I lose consciousness. All I really lost was my body. My body died; I went on, and I was still me.
So I'm out in this void, looking down at my life. I noticed that I could take in everything I've ever experienced in my entire life-- every tree, every wave, every chalkboard--all at once, and it didn't seem like all that much. It was what it was. I had the insight that we are so much more than we think we are. In a human body, our capacity for information is extremely limited compared to what we can handle in spirit form. I also noticed that some memories, or life experiences I should say, were brighter, or stood out from the rest. This inspired another insight: We live our lives for just a few special moments and the rest is really filler.
http://iands.org/experiences/nde-accoun ... ll-me.html