From wikipedia:

The word teriyaki derives from the noun teri (照り, teri?), which refers to a shine or luster given by the sugar content in the tare, and yaki (焼き, yaki?), which refers to the cooking method of grilling or broiling. Traditionally the meat is dipped in or brushed with sauce several times before and during cooking.

There are very few restaurants where you could order chicken teriyaki...but yakitori (various meats and animal parts, sometimes with green onion, too, which are on a stick and grilled either with salt and pepper or yakitori tare (sauce). Yakitori tare is probably the closest you'd find to what an American knows as teriyaki sauce.

Thank you very much.

Though I've seen teriyaki fish--yellowtail. Delicious, but it is a fatty fish!

Thanks to everyone. I am back and it seems like I actually lost weight, but I did pass up a lot of fatty foods and I ran a lot.

I passed up a tempura lunch (already paid) and several other opportunities for fried or fatty dishes. I was suprised at how much fried food is in Japan, but upon reflection, I suppose that is only when you eat out, just like here in the States. I assume the Japanese don't eat that stuff on a regular basis, especially at home.

I am now addicted to nigiri. I had eaten it before, but never ventured out like I did in Japan.

I ate sushi or sashimi every night but two in a three week time span, and never tired of it. I also always had miso soup with my meals. Actually, I ate mostly nigiri.

My favorites are:
1. unagi
2 and 3. tie between hamachi and saba
4. ika

I hated:
1. uni
2. shizae (spelling? shellfish)

I also tried fish liver, raw horse meat and fugu (nigiri-style). I really liked fugu and it was a speciality of one of the prefectures I visited, Yamaguchi.

I also indulged in Soba Noodles a few times. The best were at this place near our hotel in Tokyo where they made them there on site (like pasta in Italy). There was a distinct difference in the soba noodles there and in other places, i.e. much better.

I also tried Japanese Pizza and takoyaki because my host family made them for me. I knew they were bad for me but I can indulge a little bit. I loved the pizza as I think it tasted like my favorite kind of American pizza, BBQ Chicken Pizza. I didn't care much for the takoyaki because all I really tasted was fried dough and not much of the octopus.

We had dinner at the ryoken and wow, what a dinner! A million courses and all really good, mostly healthy, too.

The thing that stuck out the most with me was how good the fruit is in Japan. I assume it is because they don't pick it early like we do here. We all kept commenting on it, especially the pineapple. Yum! I never eat fruit here in the U.S. because it just isn't good anymore these days. The plum at the ryoken was the best piece of fruit I have ever eaten in my life, and I don't even like plums!

Thanks again to everyone for your advice. It really helped!