I shop there sometimes, and a lot of it comes and goes, but I can usually find the following organic items:

Apples
Baby spinach (sometimes other greens as well)
Tomatoes (grape and Roma)
Bananas
Potatoes
Salsa
Canned tomatoes
Pasta sauce
Honey
Butter
Cereal (like a Cheerios knock-off)
Snack stuff (Veggie chips, tortilla chips, etc.)

I'm sure there's more, too. It seems like they really feature them some weeks, so there's a lot of selection, and then other weeks, not so much. We don't eat a ton of dairy, so I can't help much there, but maybe some other poster can.

I just found out that Aldi introduced an organic line and was curious if anyone has seen it at the Alexandria store? I am hoping they do!