In the Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition, binge-eating disorder (BED) is classified as episodes of binge eating while not being hungry, eating too fast until feeling uncomfortably full, or eating in solitude with feelings of shame and disgust after eating, without compensatory mechanisms. The controversial disorder food addiction (FA) is characterized by overconsumption, cravings, failure to cut down on amounts of food, and withdrawal and tolerance to overeating. In this narrative review, we aimed to comprehensively characterize and compare BED and FA. We searched PubMed using the keywords "binge-eating disorder" and "food addiction." We finally included 51 publications according to topic specificity, credibility, the authors' reputation, and non-bias criteria. BED is characterized by concerns about dietary issues, body shape, and weight as well as depressive symptoms and brooding rumination. FA can be divided into substance addiction and behavioral addiction, which can be differentiated using a list of criteria including hunger, taste, pleasure, function of food, loss of social connections, weight concerns, and awareness about the disorder. Further research is needed to further characterize and distinguish BED and FA.