When a customer orders a Special, these things are taken from their regular order:
Pizzeria: Cook time, cutting pattern
Taco Mia: Chips
Freezeria: None
Pancakeria: Drinks
Wingeria: None
Hot Doggeria: Soda, Popcorn
Pastaria: Bread
Donuteria: None
Cheeseria: Fries
Bakeria: None
Sushiria: Bubble Tea
Scooperia: None
Mocharia: Canoli
Cjuckeria: Slush
Paleteria: None
Note that Burgeria and Cupcakeria lack a version with Specials, if they had them, I'd think:
Burgeria: Anything in the 4th station
Cupcakeria: Paper lining (since none are available year-round)