The exacerbation of global warming has significantly heightened the occurrence of crop pest and disease outbreaks, resulting in substantial agricultural losses worldwide. Weather-driven forecasting models play a pivotal role in predicting these outbreaks, facilitating timely and effective intervention strategies. This paper undertakes a comprehensive systematic review of the existing literature, to evaluate the comparative strengths, limitations, and relative efficacy of statistical versus machine learning forecasting models. Additionally, a bibliometric analysis encompassing 1,215 scientific studies sourced from the Web of Science Core Collection database (2000–2023), uncovering a sharp increase in research activity, particularly post-2019, across key disciplines like entomology, agronomy, and plant science. The continents leading in publication volume are Asia, Europe, and North America, with China, the United States, and India ranking as the top publishing countries. Chinese researchers rank highest among the top ten most productive authors in the field. Key journals with the highest citation rates include Plos One, Insects, and Computers and Electronics in Agriculture. The major research themes identified include deep learning, convolutional neural networks, artificial neural networks, and forecasting models, with keywords such as regression, prediction, insects, population dynamics etc. frequently occurring in the literature. Current research increasingly focuses on leveraging statistical as well as advanced machine learning methodologies, including hybrid and ensemble techniques, aimed at enhancing the accuracy and efficiency of forecasting pest and disease outbreaks. This study not only provides valuable insights into the current landscape of crop pest and disease forecasting but also offers a foundational framework for future research endeavors.