A multilayer packaging film or sheet is disclosed. The film comprises at least one layer comprising or produced from an olefin copolymer, a composition, or combinations thereof in which the composition comprises the olefin copolymer and a polyamide, a barrier resin, a polyolefin, a vinyl ester copolymer, a carboxylate ester copolymer, or combinations of two or more thereof and the olefin copolymer is a magnesium-neutralized ionomer and comprises repeat units derived from an α-olefin and a comonomer including one or more α-, β-ethylenically unsaturated carboxylic acids. Further disclosed is a shaped article comprising or produced from the packaging film or sheet and packaged food.