There's a supermarket (Seijo Ishii) on the ground floor of Landmark Plaza. They take CC. It's probably about the halfway point btwn IC and Sakuragicho Station as you walk down the shopping/business promenade from IC towards Sakuragicho. It's probably a 5-6min walk from the hotel, and that's probably the easiest supermarket (that I can think of) to get to from IC. It's kind of a high-end supermarket like ZA's Woolworths. Anyways, you won't be hurting for food options around the hotel. There's food galore in World Porters complex, lots of dining in Queen Square / Landmark complex. Wrt bakery, I think LapLap was alluding to Pompadour at the top of the long escalator leading down from the mall into Minatomirai Station, and that place is very good. Vie de France, little further away from IC in Landmark Plaza) is also great.