Food and Agriculture Organization (FAO) and other international organizations have come together to address a public health issue – providing access to adequate amounts of nutritious food for all the nations around the world and raising awareness of food insecurity as a public health concern. The Sustainable Development Goal to "End hunger, achieve food security and improved nutrition" and promote sustainable food systems and agriculture highlighted the necessity of launching reliable food security assessments and strengthening the existing ones. In this spirit, this review presents the current state of research on food quality and safety and food security statistical assessments. The review is split into sections discussing food security indexes that assess food quality and safety, the advantages and disadvantages of the used variable selection techniques, efficiency, and optimizations models of optimizations conducted for ranking and measuring the performance of the countries in terms of food security. It was found that the efforts to provide more reasonable and statistical-based measurement and ranking techniques that consider the concept of food quality and safety have to be intensified to provide resilient integrated measurement methods that sought to be a reference for governments and policymakers.