Here are a few..
Also anywhere by Battery Park is real romantic with GREAT views..Maybe take a cab down for an after dinner Kiss!!!
1) Savoy
This warmly lit restaurant feels more like a country inn -- complete with a roaring fire in the colder months. Dine on fine American cuisine and if you'd really like to impress, reserve for the chef's special menu.
2) The Place
This West Village restaurant offers all of the romance of New York's finest, but with a more affordable price tag.
3) Gramercy Tavern
Danny Meyer's restaurants are reknowned for impeccable service, and Gramercy Tavern is no different. Serving creative American fare, Gramercy Tavern is the perfect place for a perfect meal, from start to finish. Reservations suggested, though the tavern area has reduced prices and a no-reservation policy.
4) Union Square Cafe
Another Danny Meyer destination, Union Square Cafe offers great service and delicious fare in a comfortable setting. Union Square Cafe is friendly to vegetarians. Reservations suggested, though the bar area offers you an in without a reservation.
5) One If By Land, Two If By Sea
*** My Personal Choice***
Often considered the most romantic restaurant in New York City, One if By Land, TIBS is housed in a former carriage house that features nightly live piano music and working fireplaces. Exposed brick and dim lighting make this a great destination for a romantic evening.
Your in "the Village" so there is lots to do after...
The Christopher Street Pier is cool...
6) The River Cafe
If it's the perfect view that makes you feel romantic, you can do no better than The River Cafe on Brooklyn's waterfront. Featuring delicious food combined with professional, attentive service, The River Cafe is well worth leaving Manhattan for the food alone, but the view of downtown Manhattan makes this an irresistable choice.
7) Daniel
(More expensive than you said but a GREAT restauraunt!!!)
If you really want to dazzle your date, Daniel is among New York City's most impressive restaurants, with prices to match. Decor reflects Daniel Boulud's appreciation for Italian Renaissance design, but the menu features creative French cuisine.