BA has launched a short sale (2 days remain) for many destinations in various cabins, depending on the route.

New York
Club – £1693 for April
Premium Economy – £888 – Oct to March 15
Economy – £424 – Oct to Dec 14

Buenos Aires
Club – £2720 – Dec
Premium Economy – £1189 – Apr-May
Economy – £755 – April – May

For those looking for some extra Tier Points for BA, there are some reasonable trips bookable from London: (All in Club, roundtrip).
Stavanger – £269-£272
Rotterdam – £253
Paris – £260
Marsaille – £291
Jersey – £261
Ibiza – £272
Dublin – £260
Bergen – £229
Berlin – £299
Barcelona – £257

All work with the BA Shareholder discount when tested.