I buy our dry cat food there, the Kirkland brand, because it 's considerably cheaper than other brands that don't contain corn or soybeans that I have been able to find.
I also buy my yeast there, and with the amount I use, I think the savings on that alone probably pays for the yearly membership.
Last year, we bought a lot of trees, shrubs and perennials, at good pricing.
This year, I got my glasses there, and saved about $200 from what they would have cost at Walmart, not to mention anywhere else. I was also favorably impressed by the optometrist at that particular store.
I used to buy all our canned cat and dog food there, but recently checked out the ingredients in the Aldi canned foods, and switched to Aldi for that. We'll save about $1,600 per year by doing that.
ETA: I don't generally buy food there, because Aldi is almost always cheaper. However, sometimes when they have taste samples of fruit, I go ahead and buy because I know how it will taste, and fruit can be so disappointing. I bought the best clementines there last winter.