Rio De Janeiro GIG
a screenshot of a flight schedule

Brazil to Auckland or Australia $600-$719 LATAM/Qantas earn AS miles

Star Alliance hopscotch LAX to Brazil $525 round trip earns 13,000+ miles.

All alliances $571-$604 LAX or SFO to Rio de Janeiro GIG April-June 2016

American $513 USD Vancouver to Rio de Janeiro for 15,207 EQM

American LAX to Rio de Janeiro $542 March to June 2016; Rio Olympics $720 August on LAN/TAM

American Airlines $565 SFO to Rio de Janeiro round trip

American $645 LAX to GIG Rio de Janeiro

American $571 Monterey-Sao Paulo, Brazil

American San Francisco $635 to Rio de Janeiro, Los Angeles $591 Sao Paulo

American $559 USA to Rio de Janeiro GIG and Sao Paulo GRU, many airports June and August