The Truth of Fact, the Truth of Feeling by Ted Chiang: This story had the potential to be a cliche, but Chiang's skill avoided that. The narrator describes his somewhat estranged relationship with his daughter and relates it to a technology that allows you to record and remember everything that you've ever done. He weaves it together with a story of a young African man who learns to read and write from a Christian missionary, who discovers that the truth he learned about his tribal ancestry isn't the facts. It's an excellent look at both the advent of technology & its effect on memory and at relationships.
OVA by VD. I'm not going to type out the full name of this, because I don't want his fanclub to descend on my blog. To be quite frank, this story does not deserve to be on the Hugo ballot. The writing is like a twelve-year-old who really loves Terry Brooks or Terry Goodkind and wants to write a story just like theirs. It's painful to read, and exceptionally dull to boot.
The Waiting Stars by Aliette de Bodard: Another entry in her Dai Viet universe (aka the Xuya universe), this one is about the ship Minds and the Outsiders who separate the Minds from the ships, only that isn't quite obvious from the beginning. It's also about colonization, as many of the Xuya stories seem to be; this one is about the loss of culture and self and memory.
The Lady Astronaut of Mars by Mary Robinette Kowal: Elma is an aging former astronaut, resident on Mars, whose husband has a fatal disease and who gets a last chance to go into space on a mission that a young astronaut couldn't do. It's a story about love and aging and caring for a dying loved one.
"The Exchange Officers" by Brad Torgersen: Every time I read one of his stories, I think, "Well, maybe this one will do something for me." This isn't it. this story is about people who Operate remote-controlled spacecraft from a space station, which is then attacked by Chinese space soldiers. It is competently written, extremely dull, and jingoistic as fuck.