The 2020–2021 global pandemic has brought significant changes to social and economic life. Companies must begin to rethink their business models and values to meet these new challenges. Given the process of intermediation, which has an indirect and catalytic impact, banks have a responsibility and opportunity to transform the economy by, for example, lending to projects that encourage decarbonization and/or green energy. The purpose of this paper is to examine the MagNet Hungarian Community Bank’s approach as a values-based bank in order to compare how the operation of the bank differs from that of traditional ones—even if these apply the Corporate Social Responsibility approach. The findings of an exploratory study of MagNet’s responsible and sustainable way of doing business can help other sectors and companies cope with the global crisis and be a part of the transition to an inclusive, fair, and decarbonised economy. The data for this study were collected using semi-structured interviews with eleven bankers and three customers of MagNet Bank in 2019, as well as bank documents. Using this information, we created a business model for the bank, using the Business Model Canvas method. Within the business model we highlighted how MagNet Bank integrates principles of the Global Alliance for Banking on Values, with the aim of truly integrating sustainability into the core of their corporate genetic makeup, instead of as a partial or insincere measure. With the projection of the models onto each other, we emphasize the role of values in the business model. The combination of the models indicates potential learning points for the further development and long-term success of the bank and serves as an example of good practices for others. This is especially relevant when considering the greater need for improved crisis and risk management due to the pandemic and for the integration of sustainability considerations into business operations which have increased the impetus in the financial sector towards sustainability.