JAL uses the north terminal. In the arriving hall of the north terminal, which is on the ground floor, there is Eikokuya coffee shop. This is how it looks.
Or in the center block, which is between the north and the south terminals, there is a Mos Burger on the ground floor.
As a coffee lover, I prefer Eikokuya's coffee. They offer hotel-like service. They have a shop in Daimaru Department Store next to Tokyo Station and I used it more than ten times. They may offer free refills for some set menus. Budget 650 yen +.
Mos's coffee is good, too. Budget 250 yen+.