True Grit (1969).
No, you can win an Oscar for directing a short film, but you can't win an Oscar for starring in a short film.
John Wayne won Best Actor for his portrayal of Marshall Rooster Cogburn.
John Wayne won the Oscar for Best Actor in True Grit(1969) for the role of Rooster Cogburn.
Chicago
Yes. The 1994 Brad Pitt drama won a Best Cinematography Oscar for John Toll.
John Mills won a Best Supporting Actor Oscar for his role in the 1970 movie Ryan's Daughter.
Wings (1927)
The Accused
Judgement at Nuremberg
Technically, it was Flowers and Trees (1932). It was the first film to win the Oscar for Best Animated Short. Snow White and the Seven Dwarfs did not win and Oscar but it did receive a special honorary Oscar for its achievement as the first full-length animated film in history. The first feature length animated Disney film to win a competitive Oscar was Pinnochio. It won Best Score and Best Song (When You Wish Upon A Star). Ironically, as of 03/07/2010, Disney has yet to win the Oscar for Best Animated Feature (unless you count Pixar as part of Disney).
No. But it was nominated for an Oscar in the Best Foreign Language Film category.
No, Lagaan was the first Indian (Hindi language) film nominated for Best Foreign Language Film, but it did not win.