We can cry and whine all we want about higher food prices, but it won't make a bit of difference. The only thing that we can control is how we handle this budget breaker. There are several ways that I tackle it; maybe they'll help you.
First, I shop only sales as much as possible. Rather than go into a long explanation of how my system works, I'll direct you here: Beat the High Cost of Food: Shop the Sales.
Secondly, I garden as much as I can. You may only have a window ledge in an apartment. Use it! You can grow lettuce, spinach, radishes, etc., and many herbs on a windowsill. When the weather permits, open the window so they get direct sunshine, or set them outside if you have a small place.
If you have a yard, this is the year to make a garden of it. If you already have a garden, make it bigger. Grow the things you eat.
That leads to the next thing: I can, freeze, dehydrate... whatever and however I can figure a way to save summer produce keeps my grocery bills lower the next winter. You can also use pickling and cold storage. Get some books from the library and read up on whatever you're not familiar with.
Fourth: Stick to the basics. Sure, it's nice to eat "high on the hog," but it's expensive, too, and not always healthy. Keep basics on hand - rice, beans, cabbage, carrots and more - and keep those expensive foods for special occasions. It's nice to have something special now and then, but special doesn't seem special if you have it whenever you want it, anyway.
"Waste not, want not" is a good thought to live by. Getting food is only half the battle. I make it a point to use leftovers. If I get tired of them the way they are, I disguise them in something else. Vegetables get pureed and added to meatloaf or frozen for stew or soup. Meat scraps get saved until there's enough for a mystery stew or made into sandwich spread. Fruits are made into sauces or ices. I don't use jelly or jam, but that's an alternative for those of you who do.
If you waste food you've worked hard for, what good did it do to get it for free or cheap? There are a lot of ways use it up in creative ways.
I very seldom just open a few cans and packages for dinner. I cook from scratch as much as I can. Cheap recipes don't mean cheap tasting food - far from it. You'll be surprised at the good things you can make when you start at the beginning.
There are more ways, like shopping alone, milling your own flour, buying at the source, etc., and I'm sure you have tips and ideas to add. The key is to not let the high price of food at the grocery store dictate what you can eat. There are other ways to get food and ways to stretch what you do buy at the store.
I think it's time to put on our thinking caps and figure it out.