Publix Monterey Jack cheese is, oddly, better than the other brands. Like it's the first one I ever tasted that wasn't just rubbery nonsense. Their milk and butter we like, and their coffee is good.
Whole Foods store brands are all pretty good stuff.
I buy any brand of canned beans (I don't buy refried beans, I refry them) or dry beans, unbleached white flour, egg noodles, fizzy water (though I do prefer Topo Chico, it's a weak preference), sugar, and a lot of what we buy is fresh fruit & vegetables, they mostly aren't branded.
Publix has great cheese in general for decent pricing. But holy fuck did everything else get so much more expensive in the last 3 years. Over a decade ago, Publix prices were comparable to Winn Dixie and only slightly above Sedanos or Presidente. Nowadays Publix makes Whole Foods look like Aldi's.
Yeah one of the odd effects of the food price inflation was a sort of flattening. The difference between whole foods and Publix just disappeared, I used to just get meat from whole foods (they probably thought I was a relentless carnivore) and food at other stores, but now it's about the same price, so just get most of the food from whole foods. Publix brand dairy stuff is so good (and I remember when they were the only big grocery to push back against RBGH) but Whole Foods has a literal cheesemonger training program with state board exams, their fancy cheese area is ridiculously good.