I've used soft, wrinkly peppers up by cooking them and they were fine. Obviously, if they're brown, mouldy or slimy they go in the compost bin.
I always store apples in the fridge. They store them chilled commercially anyway. I think the worst thing that happens with chilled potatoes is that their starch turns to sugar.
BBC 2 Proms A Tribute Marvin Gaye

