To fully utilize intermittent renewable energy and have energy security, large-scale batteries are necessary. The aqueous zinc–air battery (ZAB) is a promising potential candidate for its safety, low-cost, and theoretical capacity. This research on ZAB mainly focused on alkaline electrolytes. These are favored for their conductivity, but greatly reduce the stability of the battery by zinc corrosion from the hydrogen evolution reaction (HER), dendrite formation, and carbonate formation. To address these issues, recently neutral and near-neutral electrolytes have been applied to aqueous ZAB to suppress HER, dendrite formation, and minimize carbonate formation. These include the use of chloride-based, potassium nitrate, aqueous organic, solid-state electrolytes supplemented with additives to improve the performance and stability. This field is still young with significant opportunities available for research.