Whenever I would see A League of Their Own pop out in a list, it's usually associated with the film being primarily about sports. In a way, it is a sports film - women playing baseball during the throngs of war to keep the country's morale and interests up. However, it really isn't a sports film. Sport films are usually those where everything is concentrated on the said sport, and that the sport is the central axis of the plot. This isn't about women trying to overcome adversity against women in sports because while the film addresses the sexism about it, it doesn't show any step going for it. Rather, the sport played as a circumstantial point in where a vast array of characters connected.
