This year, I discovered what a pain it can be to nominate for the Hugos and the World Fantasy Awards (and the Locus Awards and the SFSite Awards and...). I'd read a lot in the field, but I didn't remember which stories were from 2001 and which ones I liked in particular. I vowed to fix that this year. So when I read a story or novel that's first published in 2002, and I like it especially, I'm going to mention it here. That way I can keep track, and if you're curious, you can see what I liked.
(This is not a comprehensive list, since I basically started with the March issues. I plan to go back and read the February and January issues or at least skim them. Just not this very minute.)
January in Speculon: Nick Mamatas' "Impression: Sunrise" (short story).
February in Scifiction: James Blaylock's "In for a Penny, or The Man Who Believed in Himself." (I believe this is a short story, but it may be a novelette.)
March in Analog: Ken Wharton's "Flight Correction" (short story).
July/August in Analog: Adam-Troy Castro's "Unseen Demons" (novella).
It would be awfully gauche of me to recommend my own "Irena's Roses" from the June issue of Analog. Really, truly gauche. And you all know I never do anything that isn't strictly proper. So.
It's now June. I started this list in February. I'm thinking I need to get more anthologies, see if that helps, because while there are some pretty good stories out there, I haven't been bowled over very often. Maybe I'm just picky and anthologies won't help that. I don't know.
Update in August: I like "Mr. Gaunt," by John Langan, in the September F&SF. It's a novella.
And also Voice of Steel by Sean McMullen, in SciFiction on August 21 -- I think it's a short story.
And also The Wages of Syntax by Ray Vukcevich, in SciFiction on October 16. This is also probably a short story? I can't tell on Scifiction, necessarily. I know the novellas run multiple weeks, but I'm not sure beyond that.