Chronic liver disease is a major cause of mortality, with approximately 2 million deaths worldwide each year, and it poses a significant economic burden. The most common cause of chronic liver disease in the United States and Europe is steatotic liver disease (SLD), which includes metabolic dysfunction-associated SLD, metabolic dysfunction and alcohol-associated SLD, and alcohol-associated liver disease (ALD). Effective treatment of these conditions is essential to reduce the liver disease burden, with promising approaches including treating cardiometabolic risk factors and excessive alcohol intake. Glucagon-like peptide 1 receptor agonists, both as monotherapy and in combination with other drugs, are gaining attention for their beneficial impact on cardiometabolic risk factors and excessive alcohol intake. In this review, we examine the molecular and clinical effects of glucagon-like peptide 1 receptor agonists, focusing on their direct hepatic steatohepatitis and liver fibrosis but also the indirect influence on cardiometabolic risk factors and excessive alcohol intake as key features of SLD. We also explore the future implications of glucagon-like peptide 1 receptor agonists for treating metabolic dysfunction-associated SLD, metabolic dysfunction and alcohol-associated SLD, alcohol-associated liver disease, and the potential challenges.