Defect free machining of Fibre Reinforced Polymer (FRP) Composites, crossing the challenges posed by anisotropic non-homogenous fibre-matrix system, is one of the important material processing requirements with a wide scope in industrial applications. Eccentric Sleeve Grinding (ESG) projected in this research is a unique strategy with progressive-intermittent cutting scheme for achieving minimal damage machined surfaces on FRPs. Progressively varying depth of engagement for active abrasive grains in the cutting zone with an intermittent and periodically repeating cutting pattern, achieved through precisely controlled eccentric rotation of grinding wheel is the key highlight of ESG. Through this step-by-step cutting methodology, significant reduction in average grinding force, surface defects and surface roughness have been achieved on Carbon Fibre Reinforced Polymer (CFRP) composites under varying cutting conditions. The thesis covers the geometric configurations, kinematics, coordination of work feed and wheel rotation to achieve scallop free surfaces during intermittent cutting, theoretical and experimental studies on mechanics and micro-mechanics of ESG, thermal aspects and other miscellaneous findings (theoretical and experimental) on ESG.