My area is pretty cheap for food, but I also get awesome deals fairly often. It's not uncommon to find yogurt on sale for 10 cents (actually picked up a ton of yogurt for a penny a piece one time!), kale for 10 cents, milk for $1, stuffed portabellos for 25 cents, etc - it's one of the perks to shopping late at night
Aldi is also an amazing place, especially for produce (so long as it's "common" produce). 5 pounds of oranges for $1.48, avocados for 39 cents, grapes for 49 cents a pound fairly often, 3 pounds of apples for 99 cents - apparently Aldi has their own farms, so they get produce direct instead of having to get it from a 3rd party. They also have milk for $1.99 a gallon right now which is AMAZING. Eggs, regular price, are around $1.29 at Aldi.