Optically clear curable adhesive films that are heat conformable prior to setting include a reactive composition. The curable films are flexible and free-standing, and have a complex viscosity of greater than 100,000 poise (10,000 Pascal seconds) at 25 DEG C and less than 100 poise (10 Pascal seconds) at 85 DEG C, prior to setting. The set film has an adhesive shear strength of greater than 100 Newtons per square centimeter (N/cm<2>) to a glass substrate when measured according to the Shear Adhesion Test Method. The reactive composition includes an ethylenically unsaturated polyester-containing oligomeric composition that is the reaction product of a saturated, amorphous co-polyester polyol and a compound with a terminal polyol-reactive group and a terminal ethylenically unsaturated group, a (meth)acrylate functional material, and at least one initiator.