Hundreds of such cases around the world have been investigated and documented. In addition, hypnotic regression by professionals in a controlled clinical setting can not only yield accounts of past lives, but can also result in effective treatments for various psychological disorders that are said to be rooted in one or more past lives.
Personally I feel reincarnation is undeniable. One day science may be able to prove it. (But, haha, I don’t like arguing about it on the internet, that’s for sure!)
From the other side of the coin, I’ve seen plenty of scammers who pretend to be this or that important person in a past life. (Demonstrating that their understanding of karma is poor; however, a lot of idiots fall for it.)