If you can fly before the end of February, Iberia has some interesting Avios sale deals going on, with a 25% discount on the number of Avios required. Given that Iberia also has far lower taxes than BA, these deals do look interesting.
Of the long-haul deals, 25% off business class seats to Sao Paulo, Rio de Janeiro and Buenos Aires is the pick of the bunch. Guatemala, San Salvador and Santo Domingo are also available in business and economy. (I accept that Nouakchott in Mauritania is probably an acquired taste, especially as pseudo-slavery still exists there.)
Remember that you need to make these bookings from an Iberia Plus account, not a BAEC account. Your Iberia account must also have been open for 90 days before you can make a transfer into it.
(Thanks to Joe for this)