Reports abounded yesterday about BA offering a flash sale to a number of destinations for the next couple of days.
There doesn’t seem to be many ways to get extra Tier Points or value through BA.com. I tried Americanairlines.co.uk and found this offering:

This adds an extra 80 Tier Points to the 240 earned for the transatlantic flights.

The fares appear to be available via Iberia.com with the being some similar offerings to/from Mexico.

Playing around with YVR, GRU or GIG got nothing better than the BA direct services.