• Films which won Best picture, but no acting nominations for any of the cast:
    Wings, All Quiet on the Western Front, Grand Hotel, An American in Paris,The Greatest Show on Earth, Around the World in 80 Days, Gigi, The Last Emperor, Braveheart

  • Awards given during the first Academy Awards Ceremony (1929) that were never given again:
    Best Artistic Quality of Production, Best Title Writing (an award for silent films), Best Comedy Direction

  • Films which have won all of the top five major awards, for Picture, Actor, Actress, Director, and Screenplay:
    It Happened One Night, One Flew Over The Cuckoo's Nest, The Silence of the Lambs

  • Actress with the most acting nominations and most Oscar wins:
    Katharine Hepburn (12 nominations, and 4 Oscars)

  • Actor with most nominations and wins:
    Jack Nicholson (11 nominations, and 3 Oscars)

  • Director with the most nominations:
    William Wyler (12 nominations, 3 Oscars)

  • Director with the most Oscars:
    John Ford (4 Oscars)

  • Best Picture winners with longest running times: (> 3.5 hours)
    Gone With the Wind, Lawrence of Arabia, Ben-Hur

  • Best Actor/Actress award going to Actor/Actress in a foreign language film:
    Sophia Loren (Two Women)
    Roberto Benigni (Life is Beautiful)

  • Host with the most (appearances, that is):
    Bob Hope (18 times)
    Billy Crystal (7 times)
    Johnny Carson (5 times)
    Jack Lemmon (4 times)
    Whoopi Goldberg and David Niven (3 times each)

  • Only Best Picture winning film that was originally a television series:
    Marty (Best Picture 1955) - (The question Herb Stempel got wrong in Quiz Show!)

  • Films with the most nominations, but not a single Oscar:
    The Colour Purple and The Turning Point (11 nominations each)

  • Youngest and oldest nominees and winners:
    Youngest nominee: Jackie Cooper (10)
    Youngest winner: Richard Dreyfuss (30)
    Oldest nominee: Richard Farnsworth (79)
    Oldest winner: Henry Fonda (76)

    Youngest nominee: Isabelle Adjani (19)
    Youngest winner: Marlee Matlin (21)
    Oldest nominee: Jessica Tandy (81)
    Oldest winner: Jessica Tandy (81)

  • Youngest person to win an Oscar:
    Shirley Temple (6 years old) in 1934
    She was awarded a special miniature Oscar 'in grateful recognition of her outstanding contribution to screen entertainment during the year 1934'

    If you want more, go to http://www.oscarworld.net/oscartrivia.asp, which has all this and loads more