Below are the code shares extracted from the link kindly provided above. This is based on what is running today so may missed some flights not running today as they are seasonal or only run certain days of the week. It would also missed any fifth freedoms with a BA code.
These are obviously the outbound flights from DOH.
Obviously to book on BA Holidays you will need car hire through AVIS/Budget or accommodation to be available. It has been mentioned before thought that the Holidays team do have access to another GDS for accommodation booking, so it may be that some of these are bookable with a call, even if BA.com is not helpful.
Code:
BA 6384 ADL Adelaide QR 914
BA 6350 NJF Al-Najaf QR 460
BA 6356 NJF Al-Najaf QR 456
BA 6342 BGW Baghdad QR 442
BA 6344 BGW Baghdad QR 444
BA 6358 BGW Baghdad QR 458
BA 6346 BSR Basra QR 446
BA 6388 BSR Basra QR 448
BA 5803 BHX Birmingham QR 33
BA 2356 CWL Cardiff QR 321
BA 5816 CMB Colombo QR 662
BA 6366 CMB Colombo QR 654
BA 6380 CMB Colombo QR 668
BA 6360 DPS Denpasar QR 960
BA 6362 DPS Denpasar QR 962
BA 6371 DPS Denpasar QR 964
BA 6189 DAC Dhaka QR 634
BA 6190 DAC Dhaka QR 638
BA 6196 DAC Dhaka QR 640
BA 6337 JIB Djibouti QR 1437
BA 5801 EDI Edinburgh QR 31
BA 6182 EBL Erbil QR 450
BA 6182 EBL Erbil QR 450
BA 6197 EBL Erbil QR 452
BA 4486 HAN Hanoi QR 968
BA 2353 SGN Ho Chi Minh City QR 970
BA 4492 SGN Ho Chi Minh City QR 972
BA 6184 ISB Islamabad QR 632
BA 6192 ISB Islamabad QR 614
BA 6338 CGK Jakarta QR 954
BA 6387 CGK Jakarta QR 956
BA 6394 CGK Jakarta QR 958
BA 6174 KHI Karachi QR 604
BA 6180 KHI Karachi QR 610
BA 6329 JRO Kilimanjaro QR 1357
BA 6178 LHE Lahore QR 628
BA 6186 LHE Lahore QR 620
BA 4481 LGW London QR 329
BA 4483 LGW London QR 327
BA 7001 LHR London QR 1
BA 7003 LHR London QR 3
BA 7005 LHR London QR 5
BA 7007 LHR London QR 7
BA 7009 LHR London QR 11
BA 7015 LHR London QR 15
BA 5807 MAN Manchester QR 27
BA 5811 MAN Manchester QR 21
BA 5813 MAN Manchester QR 23
BA 6374 MEL Melbourne QR 904
BA 6376 PER Perth QR 900
BA 7000 HKT Phuket QR 840
BA 7011 HKT Phuket QR 842
BA 6330 SLL Salalah QR 1140
BA 6334 SLL Salalah QR 1144
BA 6386 SKT Sialkot QR 626
BA 6336 ISU Sulaimaniyah QR 436
BA 6336 ISU Sulaimaniyah QR 436
BA 6169 ZNZ Zanzibar QR 1351