From 
radarrider and others.
At listofbests.com is this list of the 100 Science Fiction Books You Just Have to Read, reproduced below. I've divided them four ways, not three. Those I know I've read are bold, those I'm fairly sure I've read (but I'm not 100% certain) are bold italic, those I know I haven't read are struck out, and the few left plain I'm not sure about. Several errors by listofbests.com have been corrected.
- Childhood's End -- Arthur C. Clarke
 - Foundation -- Isaac Asimov
 - Dune -- Frank Herbert
 - The Man in the High Castle -- Philip K. Dick
 - Starship Troopers -- Robert A. Heinlein
 - Valis -- Philip K. Dick
 - Frankenstein -- Mary Wollstonecraft Shelley
 - Gateway -- Frederik Pohl
 - Space Merchants -- Frederik Pohl
 - Earth Abides -- George R. Stewart
 - Cuckoo's Egg -- C.J. Cherryh
 - Star Surgeon -- James White
 - The Three Stigmata of Palmer Eldritch -- Philip K. Dick
 Radix -- A. A. Attanasio- 2001: A Space Odyssey -- Arthur C. Clarke
 - Ringworld -- Larry Niven
 - A Case of Conscience -- James Blish
 - Last and First Men -- Olaf Stapledon
 - The Day of the Triffids -- John Wyndham
 - Way Station -- Clifford D. Simak
 - More Than Human -- Theodore Sturgeon
 - Gray Lensman -- E.E. "Doc" Smith
 - The Gods Themselves -- Isaac Asimov
 - The Left Hand of Darkness -- Ursula K. Le Guin
 - Behold the Man -- Michael Moorcock
 - Star Maker -- Olaf Stapledon
 - The War of the Worlds -- H. G. Wells
 - 20,000 Leagues Under the Sea -- Jules Verne
 Heritage of Hastur -- Marion Zimmer Bradley- The Time Machine -- H. G. Wells
 - The Stars My Destination -- Alfred Bester
 - Slan -- A. E. Van Vogt
 - Neuromancer -- William Gibson
 - Ender's Game -- Orson Scott Card
 In Conquest Born -- C. S. Friedman- Lord of Light -- Roger Zelazny
 - Eon -- Greg Bear
 - Dragonflight -- Anne McCaffrey
 - Journey to the Center of the Earth -- Jules Verne
 - Stranger in a Strange Land -- Robert A. Heinlein
 Cosm -- Gregory Benford- The Voyage of the Space Beagle -- A. E. Van Vogt
 - Blood Music -- Greg Bear
 Beggars in Spain -- Nancy Kress- Omnivore -- Piers Anthony
 - I, Robot -- Isaac Asimov
 - Mission of Gravity -- Hal Clement
 - To Your Scattered Bodies Go -- Philip Jose Farmer
 - Brave New World -- Aldous Huxley
 - The Man Who Folded Himself -- David Gerrold
 - 1984 -- George Orwell
 - The Strange Case of Dr. Jekyll And Mr. Hyde -- Robert Louis Stevenson
 - Snow Crash -- Neal Stephenson
 - Flesh -- Philip Jose Farmer
 - Cities in Flight -- James Blish
 - Shadow of the Torturer -- Gene Wolfe
 - Startide Rising -- David Brin
 - Triton -- Samuel R. Delany
 - Stand on Zanzibar -- John Brunner
 - A Clockwork Orange -- Anthony Burgess
 - Fahrenheit 451 -- Ray Bradbury
 - A Canticle for Leibowitz -- Walter M. Miller Jr.
 - Flowers for Algernon -- Daniel Keyes
 - No Blade of Grass -- John Christopher
 - The Postman -- David Brin
 Dhalgren -- Samuel R. Delany- Berserker -- Fred Saberhagen
 - Flatland -- Edwin Abbott
 Planiverse -- A. K. Dewdney- Dragon's Egg -- Robert L. Forward
 - Downbelow Station -- C. J. Cherryh
 - Dawn -- Octavia E. Butler
 - The Puppet Masters -- Robert A. Heinlein
 The Doomsday Book -- Connie Willis- The Forever War -- Joe Haldeman
 - Deathbird Stories -- Harlan Ellison
 Roadside Picnic -- Arkady Strugatsky- The Snow Queen -- Joan D. Vinge
 - The Martian Chronicles -- Ray Bradbury
 - Drowned World -- J.G. Ballard
 - Cat's Cradle -- Kurt Vonnegut
 - Red Mars -- Kim Stanley Robinson
 - Upanishads -- Various
 - Alice in Wonderland -- Lewis Carroll
 - The Hitchhiker's Guide to the Galaxy -- Douglas Adams
 - The Lathe of Heaven -- Ursula K. Le Guin
 - The Midwich Cuckoos -- John Wyndham
 - Mutant -- Henry Kuttner
 - Solaris -- Stanislaw Lem
 Ralph 124C41+ -- Hugo GernsbackI Am Legend -- Richard Matheson- Timescape -- Gregory Benford
 - The Demolished Man -- Alfred Bester
 War with the Newts -- Karl Kapek- Mars -- Ben Bova
 - Brain Wave -- Poul Anderson
 - Hyperion -- Dan Simmons
 - The Andromeda Strain -- Michael Crichton
 - Camp Concentration -- Thomas M. Disch
 - A Princess of Mars -- Edgar Rice Burroughs
 
And if you're thinking, "Damn, there's not very many titles struck out in that list, are there?" ...Yeah, I was thinking the same thing.
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84. Alice in Wonderland -- Lewis Carroll
Whiskey tango foxtrot, over?