You can go on Air India from JFK...

Departing:
Depart: 08:10 PM Fri, Aug 27 New York(JFK)
Arrive: 07:55 AM Sat, Aug 28 London(LHR)
Flt. Info: Flt. #112 Non-Stop Economy Class

Returning:
Depart: 01:15 PM Fri, Sep 03 London(LHR)
Arrive: 03:40 PM Fri, Sep 03 New York(JFK)
Flt. Info: Flt. # 111

Adult Ticket 1 $499.55
Govt.taxes and fees $121.57

Total: $633.12