Different types of software development methodologies include Agnile, Waterfall, Scrum, and DevOps. Agile emphasizes iterative development and collaboration, allowing teams to adapt quickly to change. Waterfall follows a linear, sequential approach, where each phase must be completed before moving to the next. Scrum is a framework within Agile, focusing on short sprints to deliver incremental updates. DevOps integrates development and operations to improve collaboration and technology deployment frequency. Each methodology offers unique advantages, enabling teams to choose based on project requirements and organizational culture.