The following are snacks that contain no nut content

Goldfish crackers (original crackers)
Cheez-Its
Cheez-It Grips (original, nacho)
Entemann's Popems
Nabisco Saltines
Nabisco Nilla Wafers
Rold Gold Pretzels
Big Round Ritz Crackers (NOT Ritz Bits)
Oreos (plain or double stuff only, minis or regular size)
Chips Ahoy (large ones only, minis have pecans)
Kellogg's Rice Krispie Treats (original plain only)
Kellog's Fruit Twistables
Betty Crocker fruit snacks and rolls
Frito Lays potato chips (regular, BBQ)
Teddy Grahams (honey and cinnamon)
Cheetos (crunchy and puffs)
Hostess cupcakes, snowballs, and ding dongs
Jello and Jello Pudding cups
Honey Maid graham crackers and graham snacks
Jet-Puf Marshmallows
 
Candies
Skittles, Starburst, Sweet Tarts, Dum Dum pops, Nerds
Tootsie Rolls, Tootsie Pops, Blow Pops, Lifesaver Gummies
Wonka Laffy Taffy, Wonka Bottle Caps, Junior Mints, York Peppermint Patties (most)
Hershey Kissables (not regular Kisses of any kind)
Hershey plain chocolate bars (regular 1.55 oz. size only)
 
Other snack ideas
Yogurt
Cheese
Fruit Juices
Fruit Popsicles
Carrot/Celery sticks
Apple slices