It seems very unlikely that you will find any Kosher restaurants open on YomTov. Although there might be one or two that you can prepay before the first day of YomTov and then eat there on YomTov.
There is a list here of Kosher restaurants that will be open on Pesach in general: http://yeahthatskosher.com/2014/04/kosher-for-pesach-restaurants-list-open-for-passover-2014-global/
EDIT: It looks like Chabad is having a prepaid event on YomTov at Mr. Broadway http://www.ccfnewyork.com/passoverregistration.html
Talia's SteakHouse is also doing prepaid meals http://taliassteakhouse.com/holidays/jewish-holidays/passover/
Abigael's will be having Prepaid Sedarim only, no lunch on YomTov http://www.abigaels.com/news.html
Prime Grill is also doing Prepaid Sedarim http://theprimegrill.primehospitalityny.com/?p=1020
18 Restaurant is doing Sedarim http://www.eighteenrestaurant.com/holiday-menus/passover-menu
That's more than I thought there would be.
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