Redox-active organic materials/composites/polymers for next-generation energy storage systems have attracted significant attention for developing cost-efficient, lightweight, flexible, and sustainable batteries. Organic electrode materials (OEMs) can provide several advantages over traditional inorganic ones, such as increased energy density, improved cycle life, tunable energy storage and voltage output, and structural diversity. Herein, an in-depth knowledge of OEMs developed from carbonyl and conducting polymers is highlighted. The challenges and latest scientific strategies to build better organic batteries like covalent organic frameworks (COFs), donor−acceptor, and all acceptor-type material-based electrodes, modified electrolytes, organic− inorganic hybrids electrolytes, ceramic-type electrolytes, COF-based electrolytes, and organic liquid electrodes are highlighted. This Review also covers a brief overview of the present electrolytes and the recent advances in the field of electrolytes like organic− inorganic hybrids, ceramic-type electrolytes, and COFs-based electrolytes and their improvement directions.