Some great solution from the UK to America is available with Air Berlin / British Airways promotional sale. Consider to book roundtrip flights to New York when departing from London already for just £239 (€282)! Take the opportunity to visit "Big Apple", one of the most demanding destination from Europe, for such a low fare. Note that there is long-layover in Germany on your outbound leg to USA..
If interested in this Air Berlin / British Airways promotional deal you can find plenty of travel opportunities when departing to New York till 23rd of July 2017. Blackout period around Christmas holidays. Max stay 3 months. Sale is available till 19th of September 2016 or until sold out.
Booking sample
To check your connection possibilities to UK we recommend to use Skyscanner. This tool gives you quickly an idea which low-cost airlines are available from your home city. To book some affordable accommodation in New York you may use Booking.com or consider following promo codes offered by Hotelopia or Venere.
Booking sample of a roundtrip flight to New York from UK for £239 here. In this case you would be leaving from London to New York on 19th of February 2017 and returning back from USA on 3rd of March 2017.