Well I haven't really done anything weird.. yet.. to save money. However when it comes to food shopping I've been applying a few simple rules:
Make a list and stick to it!!!
Shop alone (anyone with you will make it easier to go off the list)
Don't go hungry
Buy whole veggies instead of precut you get generally double the amount for about the same price or less. I go home and wash and slice right away and put 'em in baggies
Buy the bags of apples and oranges-its cheaper/lb
Buy fruit and veggies that are on sale
Buy extra meat and freeze some of it. We've also decreased our beef intake.
Chicken thigh instead of chicken breast (much cheaper and heartier) I pre-cut the fat off and debone it before freezing
Buy bulk dried beans (the little baggies are expensive)
Buy larger amounts of cheeses and freeze those (if properly done it will taste as good as unfrozen)
Decide what can be bought from the cheap grocery store and what can't. And then decide whether you're really saving money by going to separate stores.
Buy wholesale when you can
By doing these things we have decreased our grocery bill to under 50dollars a week for 2 people. Before we would spend around 100!!!
We've also stopped buying processed foods except for a couple things here and there for a treat!