Bread
Tortillas
Peanut butter
Yogurt
Cheese
Milk
Almond milk
Fresh fruit
Frozen fruit
Fresh veggies
Frozen veggies
Canned beans, corn, and tomatoes
Oatmeal
Rice
Cereal
Crackers
Nuts
Rice cakes
Granola bars
Popsicles
Some frozen processed foods (e.g. vegetarian sausage)
Good stuff, thanks for such a detailed list. Here's what I would do for those, except the animal products, which I have no clue about as a nearly lifelong vegan.
Bread and tortillas are very easy to make - here are my recipes:
https://www.budgetbytes.com/no-knead-english-muffin-bread/https://www.budgetbytes.com/flour-tortillas-v-2-0-low-fat/Peanut butter - I would focus on just getting the biggest container possible, preferably not plastic, and repurposing it once it's empty. One of these days I want to get a grinder and make my own though, because fresh is SO GOOD.
Almond milk - Where I live, they come in cardboard cartons, which I believe is pretty good for recycling (better than plastic). I'm look for that.
Fruit/veggies - I think the key here is to be really flexible and creative with what you buy. Shop based on what's available without packaging, and then meal plan from there. I wouldn't worry too much about the canned stuff - metal recycling is very good as it doesn't break down the way plastic does, and is profitable enough that recyclers don't need to send it to landfills. Buying directly from farmers, either through markets, a CSA, or just direct contact (I have a local frozen blueberry hookup, for example), if a lot easier for unpackaged/less-packaged stuff.
Beans/Rice/Grains - Large cloth sacks of dried beans/rice/grains are generally the best option here. We buy stuff like this 20lbs at a time and reuse the bags afterwards.
Oatmeal - I try to get it in large paper bags where possible, versus plastic.
Granola bars - I would try to make them.
Popsicles - We had a reusable popsicle maker when I was a kid that got HEAVILY used for many years. It was also really fun as a kid to experiment with different flavors.
The rest of the stuff, I would probably just try to get in the largest containers possible, and then reuse them. Also, zero-waste/refill stores tend to have most of the stuff on your list with zero packaging, though they tend to be very overpriced. I'd check any local bulk stores as well for the dry goods.