In The Netherlands and Belgium Aldi shops fall under Aldi North. I think I noticed this chain some twenty years ago, when I was still a student and have been going every now and then ever since. Even now, when I live in a city (population of 90.000) with access to approximately ten different supermarket chains, including a Lidl or two, I can reach in 5-20 minutes per bike (recreational speed).
Over the years some products have been praised by people who's opinion I value. Thanks to rotuts and some other people here, Roser Moth chocolate have made it's way to our house. The biological eggs are quite tasty for a supermarket product, at least I don't know better ones. Yet.
I'm never without those little cans of double concentrated tomatopuree. They also have big hunks of gouda-style cheese on sale every now and then. The medium aged one is my cheese workhorse so to say. If I don't get my minced beef from a proper butcher, I'll settle with Aldi's biological one.
Nuts have been a let down. Especially the borrelnootjes, a coated and fried spiced peanut product. Both from Aldi, Lidl and other supermarket brands.
Lidl started to smarten up a bit a few years ago. Both locations here got an update and a bakery section. A few months ago, my Aldi got a bakery as well. Bakery as in fresh baked off bread, not a proper bakery from scratch. (I think the Albert Heijn chain started to bring bake an oven in to the stores.) After the overhaul, Aldi now is open in the evening and on Sundays. Except for the supermarket formula that relies on special needs personnel, it was the only one left that wasn't open after 18 or on Sunday.
Lidl has won some awards for their fresh produce and their theme weeks appeal to me. Aldi is starting to do more themes I feel, but it's still less elaborate than Lidl.
We do have special hours for the vulnerable in supermarkets, which are generally the very first opening hours or even an hour earlier than regular opening times. Complaints have been made that they aren't used much though.
Edit: Have noticed some TJ-products showing up the last few years, but I only specificially remember being disappointed about hotdogbuns.