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The theme song from Civilization IV, "Baba Yetu", has won a grammy for Instrumental Arrangement Accompanying Vocalists. The song was featured on Christopher Tin's album "Calling All Dawns", so it didn't win because of its inclusion in a six year old game - but let's pretend that it did, because it feels better.
The full list of Grammy nominees and winners can be found on the awards' website.