If I had to recommend you one typical Japanese dish, tasty and inexpensive at the same time, I would certainly choose a cold soba dish, with shredded nori seaweed on top, served on the bamboo basket called zaru, hence the name: zaru soba.
... and for more travel recommendations and deals, I recommend you to visit the Travel section of the new GaijinPot website.
EXIF info:
Nikon D700
Lens: 24-70mm F/2.8G
Focal Length: 18mm
Aperture: F/3.5
Shutter Speed: 1/60s
ISO Sensitivity: ISO 800