Nowadays, the use of plastic is very widespread, especially in packaging materials. Most packaging materials are made from fossil-based polymers, which contribute significantly to greenhouse gas emissions. The unprecedented leakage of single-use plastic waste into the environment is a major problem, with negative impacts on both ecosystems and human health. In this study we examine the development of packaging waste and recycled packaging in the European Union over a period of more than 20 years, highlighting changes in the regulatory context; assess the achievements of Hungary so far and forecast the expected developing of packaging volumes and recycling rates; and consider recycling and waste reduction options, including alternative sustainable packaging options. Our forecast based on the evidence shows that Hungary (47.62%), Germany (61.46%), Malta (26.27%), Romania (58.64%) and Croatia (49.41%) are not expected to reach the target set (65% by 2025) in EU legislation. Out of the 27 countries surveyed, 6 (Belgium 88.2%, the Netherlands 87.81%, Luxembourg 76.96%, the Czech Republic 77.79%, Finland 78.75% and Denmark 83.7%) exceeded the expectations, so we show their waste management and waste recycling good practice, as they can serve as good examples for Hungary and other countries.