I love anything with noodles, especially tonkotsu ramen, tsukemen, and... well, anything with soba, really. My favorite Japanese food has got to be shabu shabu, though. As for drinks... There really aren't any distinctly Japanese drinks that come to mind, though a few years ago I tried this weird dairy... juice, that was okay. It was basically this very thin milk, ever so slightly curdled by the only other ingredient, sour pineapple juice. It comes in this... I can only describe it as a drinking glass, with a mylar-ish foil lid and pineapples etched on the glass. I assumed it was a mixture of pineapple juice and coconut milk from Hawaii, but it turned out to be dairy, and a product of Japan. Believe it or not, it actually wasn't bad.
I love bubble tea, but that's not so much a Japanese thing as it is an Asian thing.