I think the figures are slightly misleading, certainly the report I read included used teabags being thrown away, which I wouldn't strictly count as 'wasted' food.
But yes, even disregarding that, the volume of waste is shocking. I think it's a symptom of us all being used to cheap food, so it really is almost disposable.
Putting my smug hat on, I can honestly say we don't waste any food at all. We menu plan so generally we buy what we need. Any leftovers are usually incorporated into another meal - it's amazing what a gorgeous soup you can make from that one parsnip, two carrots, a potato or two and that funny bit of swede left in the fridge!
All peelings, tealeaves/bags etc are composted. We have a Green Cone that can compost cooked food, for example the odd spoonful of pasta left on someone's plate. It even deals with bones and meat. We also have chickens and they're brilliant at dealing with odd bits of fruit and veg peelings or the like.
Things like bread - if a few slices of bread are left from a loaf, I either blitz them in a food processor and freeze the breadcrumbs, or make something like a bread pudding or a charlotte or a gratin topping.
It's not rocket science, it just takes a few minutes' thought and a tiny bit of planning. So when I sit down once a week or so to menu-plan, the very first thing I do is look at what's in the fridge, freezer and cupboards. Half a bag of mushrooms that need using? Make a quiche or a soup or whatever. Some cheese getting near it's best-before? Grate it and freeze to use straight from the freezer. Just the sorts of ideas our grandmothers did day in day out, probably because they couldn't afford not to.