Introduction: The worldwide challenge presented by human immunodeficiency virus type 1, affecting 39 million individuals, endures despite the highly active antiretroviral therapy. Limitations of it, including insufficiently addressing viral reservoirs leading to prolonged drug toxicity, resistance concerns, and economic burdens, have fueled exploration into alternative approaches. Gene editing and gene repression techniques have emerged as potential solutions. Objective: Conduct a comprehensive analysis of recent research following Preferred Reporting Items for Systematic Reviews and Meta-Analyses guidelines, focusing on genetic modification and gene repression in HIV-1-infected samples. Methods: A meticulous search identified 413 articles, of which 76 met strict criteria. Inclusion criteria involved studies on gene editing and HIV-1 expression (2019–2023), emphasizing CCR5 repression. Exclusions targeted weak evidence, lacking practical efficacy, and non-relevance to HIV-1 or genetic tools. Duplicates and non-open-access articles were also excluded. Results: The identified strategies show promise in their ability to mitigate the chronicity of the infection. However, challenges such as off-target effects, ethical considerations surrounding in vivo, ex vivo, and germline editing, and variable efficacy across studies are evident. The imperative for continued evaluation, refinement of techniques, and the development of effective administration methods is underscored. Conclusions: This topic review provides a nuanced exploration of recent advancements in gene editing and gene repression techniques for managing HIV-1. While the findings suggest promising avenues, the identified challenges necessitate ongoing research and innovation in order to harness the full potential of these strategies in the quest for an effective HIV-1 solution.