Here's a band that isn't widely known in the U.S., but were popular in their native country of Argentina. Their best known accomplishment is essentially bringing rock music to Argentina, because what kind of country doesn't have rock music? While they may not be well remembered here, their lead singer and guitarist, Gustavo Santaolalla has had a very successful career as a composer, writing music for films such as Babel and Brokeback Mountain. If you haven't heard of either Santaolalla or Arco Iris, I highly recommend that you explore their rich and influential catalog.
Any favorite non-English songs?