Responsible Body Armor Possession Act This bill prohibits the purchase, ownership, or possession of enhanced body armor by civilians. Enhanced body armor refers to body armor, including a helmet or shield, the ballistic resistance of which meets or exceeds the ballistic performance of Type III armor, determined using the National Institute of Justice standard. The bill provides exceptions for (1) the purchase, ownership, or possession by or under the authority of the United States or any state or political subdivision; (2) qualified law enforcement officers; and (3) enhanced body armor that was lawfully possessed before the effective date of the bill. A violator is subject to criminal penalties—a fine, a prison term of up to 10 years, or both.