I noticed you mentioned 6 apples are £2.50... That's really expensive.
I know you said you wouldn't save enough going to Aldi to make it worth it, but looking at your list you really, really would. Your apples would be at least £1 cheaper a pack - and there would be savings on nearly every item.
I never spend more than £80 max in Aldi, and whilst I don't buy tinned fruit, I do buy similar things to you. DP works from home, I take lunch to work, and DD has packed lunch.
I buy the following every week:
Kale
Carrots
Onions
Ginger
Broccoli
Cucumber
Tomatoes
Celery
Mushrooms
Coriander
Potatoes
Apples
Bananas
Limes
Strawberries
At least one more fruit - plums/peaches/blueberries etc - depends what's in the Super 6.
Wraps
Seedy bread
Blue and green milk
Big tub of yoghurt
Chicken - either whole or leg quarters or both
Beef or lamb
A gammon joint for ham
Flavoured water for dd
Crisps
Fake Rocky bars
Deodorant for at least one of us
Four pack loo roll (the 6 rolls into 4 quilted type)
Bleach
Whichever cleaning spray I might need
Shower gel
Coffee beans
Pain au chocolate
Bottle of red
Tinned tomatoes
Eggs
Every few weeks as and when required and included in the max £80 a week as some weeks are £65ish:
Washing liquid
Fabric softener
Laundry sanitiser
Cat food
Bin liners
Frozen sweetcorn
Cold pressed rapeseed oil
Condiments
Tinned tuna
Kitchen roll
Rice
Pasta
Cheese
Butter
The only things I don't buy at Aldi are dishwasher tablets (Fairy Platinum Plus), beans and pulses - we buy dried in bulk at the Asian shop - the same goes for spices.
We eat a lot of chickpeas - a tin in Aldi is currently 55p. I was once laughed at for saying dried are much cheaper, so I did the maths. Using a pressure cooker, including the fuel (I was bored and I'm stubborn!) makes the same amount of chickpeas cost 27p. And they can be frozen once cooked.
We cook from scratch every day, we make soups, we make stock, I add fruit to yoghurt rather than buying fruit yoghurts which is much cheaper. Pizzas are homemade and cost far less - the list goes on.
I think it really helps that we like to cook, hate waste, and love bargains.