@CyndiLouWho - a few people suggested quick service options.
Our favorites are the Plaza Inn during lunch and dinner for the famous fried chicken — so good and filling my wife and I can just split it!
Not exactly “quick service,” but Cafe Orleans for the pomme frites and Mickey beignets! But also the gumbo that’s the exact same as at Blue Bayou, but I think at a cheaper price. You can get Mickey beignets at the Mint Julep bar, but Cafe Orleans serves seasonal flavors during Halloween and the holidays and have dipping sauces. Reservations are highly recommended. (Next door French Market doesn’t require reservations, and has good filling food you can eat and soak in New Orleans Square.)
Whitewater Snacks at the Grand Californian recently renovated and rebranded to the Craftsman Bar and Grill. Very solid and interesting menu all around. The nachos are great, the mushroom pizza was soooooo good (mmmm umami), corn dog nuggets (ask for a side of cheese dip), wraps and other items with a kind of Californian fusion influence. Just avoid the poke bowl (the fish was scant and not very high quality).
Oh, and of course, Trader Sam’s at the Disneyland Hotel! Grown up drinks and virgin drinks! Fun tiki mugs! Kitschy tiki decor with a little imagineering magic, and lively bartenders! Kids are allowed to sit inside, but just not at the bar. But it’s a really small space and indoor seats are very limited. There’s an outdoor patio that seats a lot more, but you’ll miss the special effects that happen when someone orders certain drinks. Trader Sam’s does have live Hawaiian music on Friday and Saturday nights. Try the pupu platter for a sampling of the menu. They share a kitchen with next door Tangaroa Terrace, so if nothing on the menu appeals to DS, you can order from next door. They serve Dole Whips at the bar outdoor, too.
One more in DCA - we really like Boardwalk Pizza and Pasta. Their pasta plates are very good and massive, so our family of 3 just splits a plate.