Well, I wasn't going to respond with a menu because I think Greg is looking for some theory of the meal, not just occasions. But, as Bob has broken the ice....
When I was in Japan in 2001, I had amiyaki (once) and kaiseki (twice). All were a succession of small portions of food. For the amiyaki, per its name, we sat at a grill table; all dishes were brought to us there or cooked in front of us. We sat at tables for the kaiseki.
Amiyaki menu:
- fragrant green tea with roasted sesame
- white noodles served cold with a lemony leaf
- a yakiniku-style plate of beef (half tenderloin, half sirloin) with shiitake, eggplant, radish, onion, kon yak*, shiso and a bowl of dipping sauce
- salad of lettuce, mild pickled onions, seaweed, tiny cucumber slices, capers
- rice with three kinds of pickles
- brown (barley?) tea
- lastly, the very famous and highly-prized Japanese melon
[ * At the time I did not know what on Earth this food was; a friend later said it might have been "kon yak". ]
I cannot lay my hands on the menu from the very expensive kaiseki. I remember being overwhelmed, both by the number of dishes, the perfection of the food, and the soft burbly language of the server (Kyoto dialect).
At the third place, they spoke excellent English, so I have very good notes on this kaiseki dinner:
- fish cakes, sliced, with radish
- three plates:
....= octopus, potato with miso, <another seafood>
....= whitefish slivers with uni
....= beef tongue, vegetable maki in tofu, green tea tofu
- steamed eggplant, vegetable maki wrapped in eel, whipped powdered tofu in a star shape
- sashimi (yellowtail, magura, ebi) with cucumber, radish sprouts, edible flowers
- whipped bamboo shoot and potato, piped over sea bream, with seaweed broth
- sea bream filet with vegetables, tiny fish, and a cabbage "butterfly"
- sunomono
- rice with tiny fish and broth, brown tea
- oolong ice cream, strawberries boiled in cassis
We drank muscadet (Le Master de Donatien, 1998) and sake ("Kyoto Mountain Water").
[ Yes, I know the name of the sake is utterly meaningless, but that's all I have in my notes. ]
Hope this is help, somehow.