Allira
There's an Aldi about 6 of 7 miles away but it's quite small.
Another one about 20 miles away, might be worth a trip.
Are they better than Lidl's offerings? We do have a Lidl not far away (and Waitrose).
We have a Lidl in walking distance and an Aldi a drive away.
They each have good things IME. Lidl has its own bakery, which is excellent. Aldi just has wrapped items. I think the fruit and veg are about the same. Our Lidl is much smaller than the 'local' Aldi, but I don't know if that would always hold true - I live in a small town. Aldi stollen is much drier than the Lidl stollen bites, which are delicious, and Aldi Christmas puddings are fab.
After that, I don't really know. I get the Christmas things and sometimes call into Lidl if I'm passing and need something, but I don't use either for a main shop. I think the 'Isle of Dreams' stuff (the things you didn't know you wanted) is much of a muchness.
Oh, and Lidl don't do the cosmetic dupes that Aldi sell. I love their fake Laura Mercier honey bath foam and the Rose face serum. The dupe Jo Malone reed diffusers aren't bad either.