There are a lot of variations of dishes that will work well with deli sandwiches.
Salads – cucumber, tomato, black beans, coleslaw
Soups – tomato soup
Potatoes – french fries, chips, roasted potatoes
Veggies – fried pickles, veggies with hummus, corn, dill pickles
Fruits – oranges, blueberries, pineapples.