Engaging a business model with comprehensive consideration of people, planet, and prosperity will ultimately lead to increased overall success for all stakeholders involved. The sustainable business model concept embeds the value captured, developed, created, and delivered to the markets in a sustainable way, respecting the social, cultural, economic, and environmental landscapes. But profit and financial result may not be neglected and must be considered as one of the pillars of the triple-bottom-line. One of the most exciting processes of business strategy is the design of the business model as part of an innovative process envisioned to be sustainable across the value chain. Nevertheless, the search for the sustainability of new and innovative business models are not clear as a valid source of scientific measure to replicate it as a base of theoretical model. In fact, the popularity and progress of those sustainable models can be attributed to emotional bias related to social and environmental activism. This research explores throughout this literature review, the existing state of the art sustainable models as well as the best-in-class market applied models empirically tested and inviting us for a deeper research and assessment. This paper aims to fill this gap by providing a comprehensive systematic review of scholarly peer reviewed journals looking at the ambivalent roles of consultants in driving management innovation as well as all the involved stakeholders and purpose driven agents. The methodology adopted literature review to oversee the state-of-the-art of the research problem.