This doesn't answer the question of whether or not there is a God, but it does provide some compelling evidence towards a couple of things. One, that there is something beyond the brain that exists outside the body (such as a soul), and two, that there is some rather compelling evidence to suggest that reincarnation might be real.
I'm still a skeptic because I can still find some reasons to disbelieve, but the fact that what appears to be a very legitimate source has this sort of evidence.
There was also a case on a National Geographic special on whether there is life after death, and they disproved a lot of fallacies so they were actually very much on the side of skeptical.
However, there was one case that stood out because it could not be explained. There was a man who died while undergoing open heart surgery and he said while he was clinically dead, he floated over his body and saw himself being worked on. The surgeon had an unusual habit of putting his hands up and pointing with his elbows when he wasn't actually performing surgery. This was his way of keeping his hands sterile. No other surgeons did that, it was not standard practice, the man being operated on did not know the surgeon and even if he had woken up, there was something in the way between his head and where he was being worked on, so there is no way he could have actually seen the surgeon work on him. After being revived, the man mentioned this habit the surgeon had, thereby providing evidence that something, his soul or whatever had disconnected from his physical body and been cognizant during the time he had died.
https://www.youtube.com/watch?v=0AtTM9hgCDw