Hi Nicole! Thanks for stopping by planDisney with this great question!
As a dad of two, I completely understand your concerns with finding meals that your children will eat and enjoy. Luckily, there are plenty of dining locations across the
Walt Disney World Resort that offer a variety of options for your little ones.
While you may not find each of these items you listed at every restaurant, there are plenty that do.
Trattoria al Forno, which is located on Disney's Boardwalk, offers a Cheese Pizza as an option on the kids' menu.
Via Napoli Ristorante e Pizzeria in EPCOT offers most of the items you mentioned, including a pizza and pasta option.
Beaches and Cream Soda Shop has an extensive kids' menu with plenty of plain options. They also offer a grilled cheese on their regular menu, so it would be worth asking if they make a child's portion. Keep in mind that menu items are subject to change at any time.
As for every table-service dining location, they will do their best to accommodate requests. However, even if it may seem like they have most of the ingredients, they may not be able to accommodate. I would go in with the expectation that you will order from the menu, then check with your server to see if there are any other available options.
Nicole, I hope this information helps you plan for your stay!
Stop back and see us again at planDisney!
Greg