Fusion Asian - Buddakan
Fusion Japanese - Morimoto (only for the ultimate omakase)
Quasi-authentic Chinese - Chinatown Brasserie
Traditional Japanese (sushi and kaiseki) - Masa, Sugiyama, 15 East (well, semi-traditional)
Indian - Devi (wait till they re-open), Tamarind
Not sure about Korea.
Kittchitai is supposed to be fine-dining Thai, but I wasn't impressed with the food.