Mikami is a beacon of good food in the otherwise forlorn zone between Shin-Kōbe Station and Sannomiya. For both lunch and dinner it does excellent teishoku (set meals); the 'katsu' (crumbed and fried) dishes are especially good. At dinner it also does bistro-style fare like clams steamed in white wine and braised duck paired with wine, beer and cocktails.
It's on the street one block west of the main road connecting Shin-Kōbe Station and Sannomiya, about halfway between the two; look for an ivy-covered building.