The study examines the Liberation Tigers of Tamil Eelam (LTTE) and Aum Shinrikyo. This research addresses the ongoing global challenge of terrorism, emphasizing how these groups utilize asymmetric warfare tactics against nations. Through a theory-consumption approach, the study evaluates Neumann's theory of old and new terrorism using ideal types. Neumann's theory is operationalized through three analytical questions focusing on structure, goals, and methods. The results indicate that while Neumann's theory is applicable to these groups, differentiating between old and new terrorism remains difficult due to the constraints of the ideal types. This complexity highlights the necessity for further research to improve political and military strategies against terrorism. Given the highly politicized nature of terrorism, distinguishing between different groups is challenging. The study's findings are particularly useful for future officers who may face terrorism in their careers, especially through asymmetric warfare, amidst evolving global threats.