What is the name of the restaurant where Lorelai and Rory eat when Luke is away?

The restaurant where Lorelai and Rory eat when Luke is away is Al's Pancake World.

Al's Pancake World is a Stars Hollow restaurant frequently mentioned by Lorelai and Rory. Despite its name, the establishment serves food from many different cuisines, making it a recurring joke about the gap between a restaurant's title and its actual menu.

The restaurant is part of the pair's extensive takeout and dining routine. Lorelai and Rory are famous for consuming large quantities of diner food, snacks, and desserts, especially when Luke's Diner is unavailable.

Al's Pancake World is a fictional location and is separate from Luke's Diner, Weston's Bakery, and the Dragonfly Inn. Its repeated references help establish the unusually dense and eccentric food culture of Stars Hollow.