Order from Shake Shack (Downtown Cleveland) to enjoy some of the best Burgers in Cleveland. Looking to find the cheapest way to order Shake Shack (Downtown Cleveland)? Choose the most affordable delivery option listed here. Because they deliver in Cleveland, you can enjoy Shake Shack (Downtown Cleveland) in the comfort of your own home. Don’t wait another day to treat yourself to their delicious Burgers! Check out the full Shake Shack (Downtown Cleveland) menu below.