New constructions of multilayer optical films, laminates thereof, and cards incorporating same are disclosed. In a card, the multilayer optical film can be sandwiched between relatively thick polymer layers using adhesive layers that are at least 0.5 mils thick but that may collectively account for no more than 3 mils of thickness. The cards can if desired be highly transmissive in the visible yet highly opaque in portions of the infrared. The resulting cards can have reduced angel hair formation during card stamping, increased resistance to delamination, and reduced haze.