E-waste or electronic waste is a waste generated from the disposal of electrical and electronic equipment (EEE). A report titled “Global E-waste Monitor 2020” estimates total e-waste generation in the world as 53.6 million metric tons (MMt), which is expected to cross 74 MMt by 2030. Electrical and electronic equipment are of different types and kinds, some of which are commonly and much more frequently used, and some are not. For this study, the South Asian Association for Regional Cooperation (SAARC) and Association of Southeast Asian Nations (ASEAN) member countries are considered. Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) guidelines are followed for this paper. The methodological section includes three key stages which are identification, screening, and filtering the literature. The study is done at three broad levels of analysis, i.e., publication specific, method/model specific, and comparative analysis. Publication specific analysis shows some of the key trends and traits in the publications. Method/model specific analysis highlights the aspects related to methods used, their requirements, and other factors. The comparative analysis shows the disparity and commonality among SAARC and ASEAN. Suggestions and future research directions are discussed in the last section of the paper.