Flanken-style short ribs are ribs cut cross-wise against the bone so that you end up with a few cross-sections of bone in each piece. Ask your butcher for this cut.
'inexpensive steak' on Serious Eats
English cut short ribs are short ribs that are cut with one long piece of bone in each one, about 2 1/2-inches wide and 6 inches long. Look for ribs with plenty of meat and a good amount of marbling.
A great way to cook one of the best inexpensive steaks.