In case you don't want to post your receipts- here's some general advice. I hope I don't come across as being harsh, do what works for you- but here's where you could save if you want to get to my grocery spending level:
1. This is probably the most important part. Price out your actual meal and serving costs. You use two cartons of almond milk a week, this must mean you're just drinking it. So every glass of almond milk you drink costs about a dollar. That's the price point I aim for, for a meal serving. I would never use a high price item like that so freely- one carton of almond milk usually lasts me two weeks because I only use it for cooking. Apply this principle to all groceries and meals. A $4 block of tofu, plus $4 worth of vegetables, plus $1 worth of nuts, maybe $0.50 of oil, and $0.10 of spices, will probably make about two large servings, that's $4.80 a serving. That's not great. If you're looking to cut big, get that down. Create meals by balancing a conservative use of expensive items and a liberal use of cheap items. If you took that same meal and made it with no tofu, but with $6 worth of vegetables instead of four, and added 2 cups of rice to it ($.30 ish) then suddenly you have four large servings that cost $1.98 each.
2. Convenience foods- just don't buy them ever. That's the real key to having a super low food bill, and I get that it's not for everyone. Microwave popcorn?! You can buy a big bag of popcorn and pop it yourself on the stove, one bag will last probably 6 months. I don't buy ANY snacks. I don't buy ANY prepared foods (including jar tomato sauce, which is insane to me- all it is, is tomato puree and crushed tomatoes mixed together with some basil and garlic). Cereals? You're literally just paying for corn and sugar- what about super cheap cornmeal, make your own grits! Or oats? Super cheap! Chips are also just corn dressed up- if I buy a bag of tortilla chips for the week, it's because I am going to stretch it into three meals of nachos. I'll use a third of a bag for the chip part, then load up with cheap fresh jalapenos, beans, roasted peppers, fresh made salsa, etc. Sour cream? No way!! Bulk shredded cheese from costco that costs less than a dollar a cup, yup! That helps with the junk food cravings. Breaded mushrooms with bbq sauce dip are also delicious vegan finger food- and super cheap!
3. Learn what is really cheaper at Costco- you're right, rice isn't cheaper there- it's always cheaper at ethnic markets. You have to dig a bit to figure out what is cheaper where. Nuts, oils, canned beans, pickles, and various condiments (ketchup is wayyyyyyyyyyyyyyy cheaper) are much less expensive at costco in my area. I would never buy these things at a regular grocery store. My system is to visit costco four times a year and to never exceed $250 in a single trip. My goal after leaving costco, is to have nothing left to buy elsewhere except items that I know are cheaper at another store, and produce. The good news is that grocery stores work on a cycle- so once you figure out what is cheaper where, you're pretty much set. You won't have to do it every single time.
4. Produce markets & seasonal shopping. Stores that only or primarily sell produce are almost always cheaper than grocery stores. This is because they have to very quickly rotate merchandise to make money before things go bad. There are always massive sales, because otherwise things will rot on the shelves. I almost never buy produce at a grocery store. See if there are produce markets in your area. Also, on the produce end, buy seasonal. Am I a little tired of sweet potatoes by now? Yep. But I'm sure as hell not buying strawberries or asparagus this time of year. Expand your culinary skills, eat tons of root vegetables in the winter time.
Hope this helps, again I'm happy to look at your actual shopping list and make more specific suggestions.