MOS Burger is also trying to compete in the breakfast time slot (7:00-10:30). Their menu does not look all that different from the regular menu though - besides coffee, you have rice burgers and smaller sandwiches with coffee. Not very good photos on the website, but here is a photo of the MOS Morning Vegetable Burger. 朝モス モーニング野菜バーガー
Photo is a web capture for explanatory purposes, copyright belongs to the company.