In accordance with sonic embodiments of the present invention, an active energy ray curable composition including a polymerizable compound composition is provided. When the active energy ray curable composition is formed into a film having an average thickness of 10 μm on a substrate and, after a lapse of 15 seconds, the film is irradiated with an active energy ray having a light quantity of 1,500 mJ/cm2 to become a cured product, the cured product satisfies the following conditions (1) and (2): (1) when the substrate is a polypropylene substrate, the cured product has a glass transition temperature of 60° C. or more; and (2) when the substrate is a polycarbonate substrate, an adhesion between the polycarbonate substrate and the cured product is 70 or more, the adhesion being measured according to a cross-cut adhesion test defined in Japanese industrial Standards K5400.