What it says in the title. The stories I published in 2013, eligible for award nominations in the short story category:
"I Have Placed My Sickness Upon You" Strange Horizons, March 2013
"Sing" Tor.com April 2013
"A Fine Show on the Abyssal Plain" Lightspeed Magazine #35, April 2013
"Moonstruck" Shadows & Tall Trees #5, May 2013
I hope to see eligibility lists from you other creators out there, too. And do check John Scalzi's 2014 award awareness blog post, which has a ton of creators sharing info about eligible work.
With regards to the ongoing debate about whether it's bad form or not to inform people of your eligible work: Amal El-Mohtar has written a very fine post on the subject,and I agree with her wholeheartedly. Letting people know about your eligible work is vital. It's a pain to research whose work is eligible for what and when, so you're making it easier for everyone else. For me, for example. I would like to find great stories from 2013 that need nominating. So, do lists. Especially if you normally don't self-promote.