Sectors like manufacturing, automotive, transport and logistics, etc. have greatly contributed to resource depletion all around the world. The large consumption of resources results in the rise of many greenhouse gases, waste, and other environmental problems. Organizations are now under stress to modify the way they manage their procedures and operations in response to various government environmental restrictions and the rising customer demand for ecologically friendly services and commodities. Management system approaches like green, lean and six sigma can help in achieving sustainability goals. However, no single approach is effective in achieving all sustainability goals as there are inherent limitations of these approaches. This has led people in both industry and academia to focus on the combined application of these approaches. In this paper, various research articles and case studies focusing on the combined implementation of Green, Lean, and Six Sigma methodologies for environmental sustainability across various industries is systematically summarized and reviewed. Another aim of the article is to find which combination of these approaches is best for achieving sustainability.