This is a non-comprehensive list of short stories with significant science fiction elements. Due to the large number of short stories this list is limited to stories that have done one of the following:
Defined a sub-genre of science fiction.
Founded an important science fiction series.
Been the first to introduce a science fiction concept.
Won major science fiction or general fiction awards.
Topped a major bestseller list.
Been important to the field of science fiction in another way.
Story of an alien artifact discovered on Earth's moon. Every attempt to enter the artifact results in the explorer's death in a variety of strange ways. Inside the artifact, dimensions don't add up, the interior shifts, and the explorer must discover how to navigate through the artifact. The team assigned to do this finds a person willing to be "destroyed" in order to make a copies of himself so that if he dies in the artifact, the next copy can take over. But, each copy is not as good as the original so it is a race against time against an alien intelligence that fundamentally is beyond human understanding.
This story revolves around a business called Time Safari, Inc. Time Safari promises to take people back in time so they can hunt prehistoric animals, such as Tyrannosaurus rex. In order to avoid a time paradox, they are very careful to leave history undisturbed on the principle that even the slightest change can cause major changes in the future.
The disembodied mind of a man is cast into the far off future where it is re-incorporated in the body of a Herculean body builder, maintaining all the while a line of communication with the scientist who stayed behind.
The story of a time-travelling "historian" who goes back to The Blitz in London. He's annoyed by this as he had spent years preparing to travel with St. Paul and gets sent to St. Paul's Cathedral, in London, instead. Winner of the 1983 Hugo Award and a Nebula Award.
The affecting story of a scientist seesawing inescapably through time, this brilliant work effectively deconstructs most time-travel stories that came before. Winner of the 1989 Nebula Award for best short story.