A traditional Kaiseki dinner is a seasonal multi-course meal, usually presented in the following form:
Sakizuke: an appetizer similar to the French amuse-gueule.
Hassun: the second course, which sets the seasonal theme. Typically one kind of sushi and several smaller side dishes.
Mukozuke: a sliced dish of seasonal sashimi.
Takiawase: vegetables served with meat, fish or tofu; the ingredients are simmered separately.
Futamono: a "lidded dish"; typically a soup.
Yakimono: Broiled seasonal fish.
Su-zakana: a small dish used to clean the palate, such as vegetables in vinegar.
Hiyashi-bachi: served only in summer; chilled, lightly-cooked vegetables.
Naka-choko: another palate-cleanser; may be a light, acidic soup.
Shiizakana: a substantial dish, such as a hot pot.
Gohan: a rice dish made with seasonal ingredients.
Ko no mono: seasonal pickled vegetables.
Tome-wan: a miso-based or vegetable soup served with rice.
Mizumono: a seasonal dessert; may be fruit, confection, ice cream, or cake.
I've had Kaiseki meals both in Japan and in Northern California at Kaygetsu in Menlo Park. Kaygetsu was about $100/pp.
There is some debate about the existence of a true Kaiseki restaurant in Southern California. Here's a link to a discussion from earlier this year: