Before they took down flyzed.com, I used to check flights from all over, JFK-LHR has several flights a day , back and forth...

Airline Flight Equip Departure Arrival Prem
Cap		 Econ
Cap		 Econ
Seats Open
British Airways (c)
BA1507
777
JFK 09:40
LHR 21:30
62
167
n/k
Iberia (c)
IB4240
777
JFK 09:40
LHR 21:30
n/k
n/k
n/k
British Airways
BA178
744
JFK 08:00
LHR 19:40
66
263
46
Iberia (c)
IB4618
744
JFK 08:00
LHR 19:40
n/k
n/k
33
British Airways
BA112
744
JFK 18:50
LHR 06:35
66
263
4
Iberia (c)
IB4610
744
JFK 18:50
LHR 06:35
n/k
n/k
10
British Airways (c)
BA1511
777
JFK 18:10
LHR 06:20
62
167
n/k
Iberia (c)
IB4218
777
JFK 18:10
LHR 06:20
n/k
n/k
n/k
Virgin Atlantic Airways
VS4
346
JFK 18:15
LHR 06:35
45
271
50+
Cyprus Airways (c)
CY1831
346
JFK 18:15
LHR 06:35
n/k
n/k
17
British Airways
BA176
744
JFK 19:30
LHR 07:20
66
263
25