Reply to Rondad ... If you watched Gardeners' World last Friday 3rd then you would have seen Toby Buckland storing apples in clear polythene sandwich bags (the programme is still available to view on iplayer for a few more days).
Basically, only store firm, sound and undamaged fruits. Place batches of 4-8 or so apples in each polythene bag. Seal the top, but make a few small pin-prick holes in each bag to allow gases to pass through. Store in a cool place, and check regularly for signs of rot.
Keeping apples in bags like this prevents them losing moisture and turning soft.
However, remember than not all apples have a long storage life. Some must be eaten fresh, and won't store, while others will keep under the right conditions for several months.Check your variety to see if yours will keep or not.