Project management approaches have become essential and indispensable in the daily lives of project managers. These solutions have evolved over time and have come to play a prominent role in the agile context of software development. However, these changes over time have brought challenges for organizations in choosing the most appropriate approach to project objectives and needs. Therefore, this work presents a catalog containing the software project management approaches used in the agile context and that were identified from a Systematic Literature Review. Each approach is classified in one of the eight categories listed in this work. With this, it is expected to contribute to the state of the art, project managers and enthusiasts when selecting an approach that best suits their daily needs.