The origins of Sam’s No. 3 date back to 1920, when Sam Armatas started offering his Coney Island favorites in Denver. Over the next nine decades, the empire grew and shrank and shrank still more, until it was down to just one Sam’s No. 3, located in Aurora. But slowly the Armatas family has been building back up, and in 2013 it opened a third Sam’s, with the same voluminous menu crammed with great diner food, including skillet breakfasts, 15 kinds of burgers, 21 breakfast burritos and a full page of Mexican grub. It’s all big food, served in a down-home style.