Disclosed are films comprising highly neutralized blends of ethylene acid copolymers, organic acid salts and ethylene containing polymers (e.g. ethylene/alkyl (meth)acrylate copolymers) and/or silicon-containing polymers to provide high oxygen permeability values (OPV). Such polymeric film and polymeric film structures have improved oxygen permeability and desirable water vapor transmission, formability, and structural strength to be useful in wrapping food products requiring breathable films such as case ready meat, fish, sausage, fresh produce, and the like.