Istanbul - New York from 369 EUR with Turkish Airlines, Bucharest - New York from 522 EUR
Turkish Airlines announced a great deal for New York from Istanbul, rates from 369 EUR with all taxes included. The travel period must be between 1 February 2014-31 March 2013, and tickets must be purchased during the period 1 November 2013-30 November 2013. These must be paid within maximum 3 days from the reservation.
For February 2014, on the route Bucharest-Istanbul tickets can be found by starting from 153 EUR (TAROM) and from 183 EUR (Turkish Airlines). So you can do it Bucharest-New York from 522 EUR.