Dining Outside the Home: St. Elmo Steak House in Indianapolis, Indiana! Known as the oldest steakhouse in its original location, a mere stone’s throw from the Soldiers’ and Sailors’ Monument in downtown Indy, is none other than St. Elmo’s. This is a place where people come to satiate their appetite for outstanding steaks, impressive shrimp cocktails, and a superior wine list that promises to complement any occasion. If you’re lucky, the award-winning wine cellar may be available for private dining and celebrations. I know, because I’ve been there. Not only is the atmosphere charmingly romantic being surrounded by thousands of bottles, but the professional waitstaff’s attention to detail is intoxicating. For the ultimate dining experience, choose St. Elmo Steak House.