Here is one example of high-quality evidence of the survival of the personality:
Dr. James Hyslop, professor of Logic and Ethics at Columbia University, and one of the most distinguished American psychical researchers, reported the following incident.
[...]
As Sir Wiliam Barrett concluded in his review of the case: "The simplest and most reasonable solution is that the information was derived from the mind of the deceased person."
2 page PDF:
http://www.aeces.info/Top40/Cases_51-75/case56_soule-soul.pdf