The overall meal doesn’t differ across the restaurants because they all offer different cuts of Kobe beef as part of a set meal. This set usually includes the beef, a salad, a soup, a choice of bread or rice, and either dessert, tea, or coffee to end the meal. The Mouriya restaurants have options which are comparable in price to the options at Steak Aoyama; around 5,000-6,000 yen for a lunch set, though Aoyama is slightly cheaper. Also, like Aoyama Steak, you can make reservations at the Mouriya restaurants for a chance to have your meal cooked directly in front of you.
Despite these similarities and the higher rankings of the Mouriya restaurants, I still chose Aoyama Steak. This was simply because Aoyama was a family restaurant and because of the sheer number of reviews complimenting the personal experience here.