I have to say that evidence for reincarnation is overwhelming. Like UFOs, "something" seems to be there. Reincarnation dovetails with many alternative areas, such as accupuncture, "energy medicines," auras, and so forth. These co-relative factors from a wide range of areas increase the probability of reincarnation being a real phenomena. Certain findings in quantum physics seem to support reincarnation as a high probability. Full understanding of reincarnation requires understanding the fundamental nature of life itself. In this area I can reccommend a whole spectrum of convincing studies and materials. First off, I would recommend reading the book "A New Science of Life"- by Rupert Sheldrake and see his video "Seven Experiments that Could Change the World". Next I would recommend reading the experiments of Dr. Harold Saxton Burr, who was active at Yale University in the late 1930's and 40's. One of his books is called "Blueprint for Immortality". His works also present supporting evidence for such things as auras, kinesiology, reflexology and so on. He not only proves there is a low voltage energy field around all living things, but that it is this energy field which controls and directs matter. I think that many students of the occult always assumed that matter generated its auric fields when the reverse seems to be true. This rules in favor of the belief in a soul. Related works are "Shadows of the Mind" by Roger Penrose, and "The Astonishing Hypothesis" by Francis Crick. Since this life field or energy field seems to be electromagnetic in nature, it is more than possible it can store the data of not only one lifetime but several in a quasi-analagous comparison to electromagnetic storage in computers.
On reincarnation there are many books available. Probably one called "Reincarnation: The Phoenix Fire Mystery" is a good place to start. It even includes the works of Dr. Ian Stevenson who put together a paper on reincarnation simply titled "Twenty Cases Suggestive of Reincarnation". How to reconcile near death experiences and ghosts and out of body travel with this in some sort of lifeunified field theory will be a project that will surely keep many researchers occupied for quite some time.