A multilayer coextruded film which includes at least one oil and grease absorbing layer and at least one oil barrier layer. The at least one oil and grease absorbing layer includes at least one styrenic block copolymer. Each oil barrier layer includes one or more polyolefins. Some multilayer coextruded films include an interior sealing layer. Further multilayer coextruded films include an exterior finishing layer with the oil barrier layer and the oil and grease absorbing layer disposed between the interior sealing layer and the exterior finishing layer.