As it happens, I was just watching a bunch of videos on reincarnation a few weeks ago, including some by the guys you mention. It was one of those days that I was surfing around youtube, and had come across one of those stories of young kids recalling past life events, found it intriguing, and went on from there.
To be fair, although I stress that this is not something I put any particular stock in, most of the "research" at all worthy of the name doesn't focus on people who have done past life regression, or those who think they were Cleopatra or Marilyn Monroe. Most of them do tend to be of children who inexplicably start talking about being someone else, having a different family, etc, and most include accidental or violent deaths, which they claim to remember.
I realize that it's very easy for a thought to be suggested and implanted into the subconscious of a very young child, or for a parent to extrapolate or embellish what their son or daughter tells them. Also, some anecdotes will include what might be some really great coincidences...but, as I said, there's just something intriguing about a number of them. I have no idea, really, what kind of controls are used in this sort of "research", but just as I am interested in whether anyone ever manages to successfully take up James Randi on his wager and offer actual proof of things like out of body experiences, mediums or ghosts, I'm interested to see whether they ever find someone who can conclusively prove that they have memories of an actual past life.
I'm skeptical of those things at present because I don't see any overwhelming evidence for them, but they are all very cool concepts, and it would be much more fun to find THEM proven true than it would be to have evidence of Biblegod handed to me on a plate.