A personal selection. I also added some that I haven't seen yet, but of which I heard good things.
Feel free to add yours in the comments.
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Blade Runner (1982)

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best Old
Science Fiction
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A Clockwork Orange (1971)

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2001: A Space Odyssey (1968)

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Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb (1964)

Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb
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Solyaris (1972)

Solyaris
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Stalker (1979)

Stalker
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Fahrenheit 451 (1966)

Fahrenheit 451
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Soylent Green (1973)

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Nineteen Eighty-Four (1984)

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THX 1138 (1971)

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Videodrome (1983)

Videodrome
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Westworld (1973)


Westworld
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Brazil (1985)

Brazil
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Barbarella (1968)

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Forbidden Planet (1956)

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Logan's Run (1976)

Logan's Run
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Slaughterhouse-Five (1972)

Slaughterhouse-Five
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Sleeper (1973)

Sleeper
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TRON (1982)

TRON
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The Day the Earth Stood Still (1951)

The Day the Earth Stood Still
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When Worlds Collide (1951)

When Worlds Collide
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The War of the Worlds (1953)

The War of the Worlds
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Star Wars
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