The only paper store flier I get is for Food Lion, our only regular grocery store. In order to go to a different one I need to drive at least 15 miles where I have Food Lion, Ingles and Aldi. Walmart is ever present for groceries and where I do most of my shopping because the prices are usually better.
If I decide to go out of town to shop I pull up the Food Lion, Aldi and Ingles fliers online to price compare. 99% of the time Aldi is the best for pantry basics, Food Lion for meats and fresh "ish" veg. I don't always like the quality of their fresh produce because despite their claims, I've brought home what was "just brought in off the truck" produce that went bad in 24 hours. But they're usually better than Aldi for the most part.
Then there's Ingles. They're a higher end chain in the area where I can get more unusual ingredients. They've got the biggest foreign food section within 25 miles but they're also the most expensive, even with coupons and store specials. I'll give them this, though; they've got spectacular specialty foods and fresh produce, and their fresh meat and seafood are incredible. That's where I go if I'm looking for something special or have their butchers break something down for me.