Don’t be fooled by the generic name: Greenwich Grill is one of the most idiosyncratic restaurants in Tribeca. While the notion of “Tokyo-Italian cuisine” might make some wonder if Italian food isn’t Italian food wherever it’s prepared, Greenwich Grill will make sense to anyone who has enjoyed high-end Italian in Tokyo. The menu is mostly Italian/Continental, with Asian touches here and there and a precision that can only be described as Japanese. As befits a Tokyo-inspired restaurant, the service is a bit stiff but not oppressively so, while the main dining room—located in the rear—is one of the prettiest around. (The circular booths in the front room have their own retro appeal.) Downstairs is a related-but-different restaurant, Sushi Azabu.