Who will be remembered 1,000 years from now?
Of people who lived in the last 100 years (currently alive or deceased), who do you think will still be remembered 1,000 years from now?
The best way to be remembered across the millenia is to be either a sage of some sort (philosopher, mathematician, prophet, law-giver) or to kill a lot of people (conqueror, ruler, and so forth).
Therefore, the people who lived in the past hundred years who will be best remembered a thousand years from now will be Vladimir Lenin, Josef Stalin, Adolf Hitler, Mao Tse-Tung, Albert Einstein, Marie Curie, and some thinkers that you've never heard of but that ultra-conservative Christians love to quote.
"Those of you who will live into the twenty-first century, come put a wreath on my grave, because this will be the slogan: No more twentieth centuries…" - Isaac Asimov (1974)
Have a nice day, and pleasant dreams.
(Yes, I know that Neitzsche and Lenin have a half-century head start. They're still worth mentioning for their enduring legacies, and Lenin's gonna be lying in that glass box for a long time.)
Hitler
Neil Armstrong
Gandhi (showing effectiveness of nonviolent resistance)
Einstein
Vanevar Bush (for his essay "As We May Think")
Bin Laden (showing power of terrorism)
Craig Venter (as important early bioengineer)
Milton Friedman (market economics)
Lawrence Roberts (Arpanet)
Steve Jobs (mainly just for the iPhone)
William Shockley (Head of transistor team)
Wright Brothers
Richard Stallman (Just because DRM will always exist and he will be known as an early popularizer of related issues)
Darwin will be far more important than any of these, but is outside your date range.
Who I don't think will make the cut: Tim Berners Lee (world wide web will be too anachronistic) Turing (no emotional resonance with his work, unlike Vanevar Bush)
viz. Bush, Venter, Roberts, Shockley, Stallman.
The people that will be remembered in 1000 years aren't actually those frequently in the media(say, steve jobs), steve jobs is clearly overhyped and will fade away just like justin bieber did.