We ate in the wine room at California Grill years ago. Did not have the view of other tables, but the only other guests were 2 young people and he proposed during that dinner, so yea, that was romantic.
We had a really nice evening once at IL Mulino. Quiet, not rushed and excellent food.
Not a meal, but the Peacock Lounge at the Waldorf is a very nice place. We did not try the Bull and Bear.