I think Spoodles serves breakfast. They are on the Boardwalk.
There is also a continental breakfast served in the Belleview/Bellvue (SP?) room in the BWI. I think it is self serve with some seating but certainly within easy walking distance.
If you want to walk across to the Beach Club, there is a character buffet breakfast at Cape May Cafe. There are also restaurants in the Swan or Dolphin for breakfast, but I wouldn't want to walk that far every day just for breakfast unless it's along the route of your final destination. If you do go to one of these Boardwalk resorts for breakfast, then I would just carry on and walk to Epcot from the Beach Club, or take the Friendship Launch onto MGM from any of these resorts.