Coffee & Dessert. This historic cafe has been serving piping hot coffee since Disneyland opened in 1955. It's a great place to get a simple cup of coffee, an expertly crafted cappuccino, tea, hot cocoa and a variety of baked goods. A renovation and reopening at the end of 2013 brought a whole new look to the Market House and introduced Starbucks. Menu highlights regular & decaf coffee, espresso, cappuccino and other specialty coffees assorted baked goods. From WED Disneyland Dictionary 1968 Market House is a replica of the old-fashioned grocery and butcher shop. It features a pot-bellied stove and recorded party-line phones that provide many chuckles for guests. "Cider' and dill pickles are also sold. Sponsored by Swift & Co. C & H Sugar Corner is also located in the Swift Market House.