Concrete with ordinary Portland cement (OPC) binder is the most commonly used construction material. The construction industry in general and the production of OPC in particular are responsible for significant emission of CO2 into the atmosphere. This article evaluated critical literature on the resistance of concrete with slag and fly ash binders to acid attack. Slag and fly ash are industrial byproducts and their use as replacement of OPC for the production of concrete contributes to recycling of these products and saving landfill space. The article evaluates critical factors that contribute to resistance of concrete prepared using recycled industrial byproduct binders such as the contents of fly ash and slag, concentration of the alkaline activator solutions, curing conditions of concrete samples, and acid type and concentration. Resistance of concrete with recycled binders is compared to conventional concrete. The types of acids reviewed are broadly classified as organic or strong acids. The effect of acid was evaluated with respect to critical properties that affect the usability of concrete with alkali-activated recycled binders for practical applications. This includes mechanical properties and stability of mass. The most common mechanisms of deterioration due to acid attack are identified and discussed. In general, concrete with alkali-activated binders consisting of recycled industrial byproducts demonstrated superior resistance to strong acids compared to conventional concrete with OPC binders. However, response may vary depending on the acid type, binder type and amounts.