Exchange‐biased magnetic sandwiches are shown to exhibit ‘‘giant’’ magnetoresistive properties when deposited on free‐standing organic films. This allows for the possibility of preparing flexible magnetoresistance heads or head arrays for tape or floppy‐disk drive and hard‐disk drive applications. Similar structures deposited on thin organic layers spin coated onto silicon substrates also exhibit giant magnetoresistive behavior. ©1996 American Institute of Physics.