Searching for Sugar Man, which was understandable, as it is an entertaining film, with an upbeat ending.
Two of the other four nominees were about the Israeli occupation of Palestine. One of these, The Gatekeepers, is an astounding set of interviews with six former heads of Shin Bet, the Israeli internal security service. The other, 5 Broken Cameras, is an account of one man's coverage of the demonstrations in and near the West Bank community of Bil'in, where he lives.
5 Broken Cameras didn't win an Oscar, but it did receive the World Cinema Directing Award at the Sundance Film Festival in 2012, and the Special Broadcaster IDFA Audience Award and the Special Jury Award at the International Documentary Film Festival Amsterdam in 2011.
I don't think the film has been shown yet in Alaska. Here it is, in its entirety: