Non-empirical study is showing the status of para-psychological research and theoretical modeling of relevant psychic phenomena, to analyze and critically evaluate the results, problems in research and theoretical modeling, and to offer guidelines for future research. In this review of articles there is an overview of previous research findings related to parapsychology. The intention of the subject is to review and to try to answer the question on the position of parapsychology today within psychology, and within society, and to develop new improved methods which could test the hypotheses about psychic phenomena. The need for such work is explained by the lack of research of psychic phenomena. We selected twenty-eight scientific studies on the criterion of similarity and of access to psychic phenomena. The paper gives a brief historical overview of the development of parapsychology, and a review of research that followed the phenomena, such as, predisposition for para-psychological, spiritualism, intuition, extrasensory perception, bioenergy, telepathy, lucid dreams and out of body experiences. Findings of studies are mostly not replicated, and the amount of controversy or defects in research is notable. Parapsychology is still insufficiently explored area with a relatively small number of research of para-psychological phenomena and there are many methodological problems and shortcomings of such studies, such as the imprecise definition and biased sample of studies. Due to the relevance of such research, this paper should encourage the development of interest in this area. There is a broad practical application of the results of para-psychological research on psychological counseling, psychotherapy, clinical psychology, and many other areas not related to psychology.