Stardust

Following, is a complete(?) listing of any science-fiction/fantasy movies or television series that ever won a mainstream award.
2011
Inception
Alice in Wonderland
God of Love
The Lost Thing
The Wolfman
The Twilight Saga: Eclipse
Kick-Ass
Harry Potter and the Deathly Hallows: Part 1
2010
Avatar
StarTrek
The Twilight Saga: New Moon
Harry Potter and the Half-Blood Prince
Jennifer's Body
2009
The Dark Knight
Wall-E
The Curious Case of Benjamin Button
True Blood
2008
The Golden Compass
Transformers
Iron Man
I Am Legend
Pirates of the Caribbean: At World's End
2007
Pan's Labyrinth
Pirates of the Caribbean: Dead Man's Chest
Transformers
2006
King Kong
The Chronicles of Narnia
Batman Begins
Star Wars: Episode III Revenge of the Sith
Sin City
The Exorcism of Emily Rose
2005
Eternal Sunshine of the Spotless Mind
The Incredibles
Spider-Man 2
Day After Tommorow
Hide and Seek
2004
The Lord of the Rings: The Return of the King
Pirates of the Caribbean: The Curse of the Black Pearl
X2: X-Men United
2003
The Lord of the Rings: The Two Towers
Sen to Chihiro no kamikakushi (Spirited Away)
Spider-Man
Daredevil
Star Wars Episode II - The Attack of the Clones
The Ring
2002
The Lord of the Rings: The Fellowship of the Ring
Kate & Leopold
2001
Wo hu cang long (Crouching Tiger, Hidden Dragon)
How the Grinch Stole Christmas
The Cell
2000
The Matrix
Sleepy Hollow
Being Jon Malkovich
The Sixth Sense
Star Wars: Episode 1 - The Phantom Menace
1999
Armageddon
Blade
1998
Men in Black
The Truman Show
Quest for Camelot
1997
Independence Day
The X-Files
The Craft
Star Wars
1996
The X-Files
From Dusk Till Dawn
Species
Godzilla
1995
12 Monkeys
The Crow
Interview with the Vampire
1994
Jurassic Park
The X-Files
1993
Dracula
Death Becomes Her
1992
Terminator 2: Judgment Day
1991
Ghost
Quantum Leap
1990
Batman
The Abyss
1989
Beetlejuice
Quantum Leap
1988
Innerspace
1987
Aliens
The Fly
1985
Cocoon
Back to the Future
1982
E.T. the Extra-Terrestrial
Connan the Barbarian
1981
An American Werewolf in London
1980
Star Wars: Episode V - The Empire Strikes Back
1979
Alien
1977
Star Wars
Close Encounters of the Third Kind
1976
The Omen
King Kong
1974
The Little Prince
1973
The Exorcist
1972
A Christmas Carol (animated)
1969
Marooned
1968
Rosemary's Baby
2001: A Space Odyssey
1966
Fantastic Voyage
1962
The Wonderful World of the Brothers Grimm
The Twilight Zone
1960
The Time Machine
1958
tom thumb
1954
20,000 Leagues Under the Sea
1953
The War of the Worlds
1951
When Worlds Collide
1950
Destination Moon
1949
Mighty Joe Young
1946
Blithe Spirit
1945
The Picture of Dorian Gray
1941
The Devil and Daniel Webster
1940
The Thief of Baghdad
1939
Wizard of Oz
1937
Lost Horizon
1931
Dr. Jekyl and Mr. Hyde