I agree with previous responses that you should always check every label before you buy, and calling manufacturers to make sure they always say "shared equipment" or "facility that also has peanuts" if that is the case.
But we have had good luck with Keebler cookies, plain Oreos, whole grain fig newtons, Pepperidge Farm products, Yoplait, Breyers ice cream, Brownberry double fiber whole wheat bread, pre-sliced and pre-packaged deli meats, shredded cheese from Kraft and Sargento, velveeta slices, Campbell's and Progresso soups, Jack's and
DiGiorno frozen pizza, Eggo waffles, Toaster Streudel pillsbury, Pop-tarts, Dominos and Pizza Hut have been safe for us.
Throw in some fresh fruit and that's what our son eats every day.
Hope that helps you get started on where to look.