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:
- BEST ACTOR
Youngest nominee: Jackie Cooper (10)
Youngest winner: Richard Dreyfuss (30)
Oldest nominee: Richard Farnsworth (79)
Oldest winner: Henry Fonda (76)
- BEST ACTRESS
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