As an emergent technology, drones have grown increasingly integral to the logistics and supply chain management (SCM) sectors. This review paper seeks to address this gap by analyzing a carefully curated dataset of 96 journal articles, sourced from Scopus and Web of Science, concerning drone applications in logistics and SCM. Our study reveals a rising trend in drone-related logistics and SCM research and highlights the growing significance of this technology. Using latent Dirichlet allocation (LDA), we distilled the corpus into ten distinct topics and provided a comprehensive overview of the field’s thematic landscape. The most prominently studied themes were drones for humanitarian logistics and SCM and optimization of last-mile delivery using drones and trucks in urban logistics. These areas underscore the promise of drones in addressing humanitarian challenges and urban logistics optimization, respectively. Conversely, the least explored topics were drones safety and utility and drone delivery and consumer behavior in food logistics. To our knowledge, this is the first paper applying LDA to examine drone applications in logistics and SCM, offering novel insights into the current state of the literature. Moreover, based on our findings, we propose a future research agenda to encourage further exploration into under-studied areas and to sustain the momentum of this exciting field.