What if there were physical evidence (as opposed to anecdotal evidence) proving the existence of reincarnation? Dr. Ian Stevenson provides this with his research correlating children’s past life memories with physical marks and defects they were born with in their current life.
Dr. Stevenson (who would have turned 100 this Halloween) is known as one of the premiere reincarnation researchers in the Western world. Here is the link to his well-known article on the subject: Birthmarks and Birth Defects Corresponding to Wounds on Deceased Persons. He also wrote a book about it: Where Reincarnation and Biology Intersect.
Here's a video involving more recent cases: