This essay presents the rationale to consider anomalous experiences (AEs, such as synesthesia, lucid dreaming, hallucinations, psi-related experiences, and near-death experiences) as an essential topic in psychology. These experiences depart from the typical or customary characteristics of consciousness (e.g., out-of-body experiences), or from ordinary or normative consciousness (e.g., synesthesia), and sometimes offer an alternative perspective to the nature of self and reality. We review the concept of AEs, methodological issues, and research findings, including their relation to individual differences, psychopathology, culture, and positive psychology. We suggest that mainstream psychology has neglected the study of AEs far too long, alt...