Since the emergence of COVID-19, travel restrictions due to the pandemic have influenced several activities, in particular the mobility patterns of individuals. Our main goal is to draw the attention of scholars and policy makers to a specific segment of the population, namely (1) older people, (2) persons with disabilities (PwDs), (3) females, and (4) low-income population that are more vulnerable for travel behaviour change due to crisis such as the COVID-19 pandemic. This article systematically reviews the studies that have explored the implications of COVID-19 for the mobility and activities of individuals pre-, during, and post-pandemic using the PRISMA method. It is found that there are a few studies regarding the travel and mobility needs and challenges of older people and PwDs, and there is no direct study concerning female and low-income individuals while such crisis exist. Questions such as “What are the adverse impacts of restrictions on their travel behaviour?”, “How can they travel safely to work, shopping, and medical centres?”, “Which transportation modes can be more effective for them?”, and “What are the government and policy makers’ role in providing accessible and affordable mobility services in the presence of such crisis?” are without relevant answers in the literature.