Packaging materials play a significant role in the meat, fish, and seafood, pharmaceutical, beverages, and electronics industries. These materials protect the contents during handling and transportation from damage, contamination, and loss of quality, thus enhancing the shelf life of the products being packaged. Several materials, like paper and cardboard, plastics, metals, and glass, have been widely used. However, the vast consumption of these materials leads to high waste generation due to increasing demands globally. This article considers some aspects of recycling waste packaging materials, the need for recycling in terms of environmental impacts, and the energy-saving and economic benefits. It also provides some highlights on the sustainability of the processes of recycling and how the government and public can influence recycling operations. The impact of the COVID-19 pandemic on packaging systems and solid waste management is also highlighted. This study also provides a short note on the possible future methods to be adopted in the recycling process of waste packaging materials.