1. "The Girl Who Was Plugged In" by James Tiptree, Jr.
This is my ultimate favorite short story -- the story I think about when I think of the short story format. It means many things to the Science Fiction realm and many things to gender studies in literature as well -- but it means a lot of things to me personally that I can't even begin to discuss.
In the story, a young girl living in an unspecified future time period leads a lackluster life and becomes chosen to be a "god" like creature in the eyes' of her society -- a celebrity. In this future, everything is controlled by corporations, and P. Burke (the protaganist) is eventually chosen to become a "remote," using a much more "beautiful" body via a link in her brain (which remains in the original P.Burke).
She leads a whole knew life where she is worshiped and finds love -- everything she couldn't possibly imagine. But what happens when her two worlds collide? There are lots of echos of the future cyberpunk scene as well, this story is highly recommended by me!
Trivia: James Tiptree Jr. was actually the alias for Alice B. Sheldon. She won the Hugo award for Best Novella in 1974 for this piece.