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° C. and less than 100 poise (10 Pascal seconds) at 85° C., prior to setting. The set film has an adhesive shear strength of greater than 100 Newtons per square centimeter (N/cm2) 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.