Antimicrobial resistance (AMR) represents a critical global health challenge, with low- and middle-income countries (LMICs) disproportionately affected due to limited surveillance capacity. Advances in microbial genomics offer powerful tools for AMR detection and monitoring; however, translating these technologies into sustainable, policy-relevant surveillance systems in resource-constrained settings remains challenging. This review synthesises current approaches to genomic surveillance of AMR in LMICs and presents Bangladesh as a case study to illustrate how genomic, environmental, and clinical data can be integrated within a One Health framework. We examine key barriers to implementation, including laboratory infrastructure, bioinformatics capacity, data governance, and cross-sector coordination, alongside emerging opportunities for capacity building and regional collaboration. Using Bangladesh as an example, we highlight practical pathways for embedding genomic surveillance into national AMR strategies, linking human, animal, and environmental reservoirs of antibiotic resistance. We argue that genomic surveillance can move beyond data generation to inform infection prevention, antibiotic stewardship, and public health decision-making when supported by context-appropriate infrastructure and interdisciplinary engagement. By focusing on operational and translational considerations rather than technology alone, this review provides actionable insights for microbiologists, public health practitioners, and policymakers seeking to strengthen AMR surveillance systems in LMICs through a One Health approach.