Organizational Change (OC) in the software industry is critical to maintaining competitiveness in a fast-paced environment. However, OC initiatives often face inefficiencies due to a lack of structured methodologies, limited adoption of proven OC models, and reliance on ad hoc practices. This paper identifies existing OC models, critical success factors, and key characteristics that can enhance the efficiency and long-term sustainability of OC initiatives in the software industry. Through a systematic literature review, we analyzed 17 secondary studies addressing the OC theme or its instances that affect the pillars of companies such as technology, processes, and people. The study highlights the limited application of OC models in the software industry, revealing gaps in planning, communication, and stakeholder engagement. Furthermore, it maps and synthesizes 41 OC models and discusses 14 critical factors and 6 characteristics to be considered in OC management. By synthesizing insights from the state-of-the-art on Cultural shifts, Digital transformation, and Software process improvement over the last decade, this research provides practical recommendations and a foundation for adopting structured OC frameworks tailored to the software industry initiatives. Further research should focus on validating these findings, creating customized frameworks, and scaling OC models to different contexts.