Shake Shack It began its activity in 2004 with a "cart" in Madison Square Park offering New York-style hot dogs and then expanded to become a real fast food chain based in New York. The quality of the Angus meat and of all the other ingredients makes the flavor of the Shake Shack burgers unique. Excellent sandwiches, irresistible fries and tasty smoothies make this place ideal for a good lunch in the Big Apple.