For which film did Javier Bardem win the Oscar for Best Supporting Actor?

For which film did George Clooney win the Oscar for Best Supporting Actor? Who won the Oscar for Best Supporting Actor for 'Little Miss Sunshine'? For which film did Alan Arkin win the Oscar for Best Supporting Actor? Who won the Oscar for Best Supporting Actor for 'No Country for Old Men'? Who won the Oscar for Best Supporting Actor for 'The Dark Knight'? For which film did Heath Ledger win the Oscar for Best Supporting Actor? Who won the Oscar for Best Supporting Actor for 'Inglourious Basterds'? Who won the Oscar for Best Supporting Actor for 'The Fighter'?