Lynne M. Hinkey, author and marine scientist and long-time member of Internet Writing Workshop [IWW], says, "Different publications have different submission timelines. Some accept continuously, some list the themes of upcoming issues and ask you only submit stories meeting the theme, others have specific query/submission periods based on publication times (monthly, quarterly, annually, biennial)."
She keeps a list of publications based on the yahoos posted on IWW that have exposed her to markets and publications she might never have found otherwise.
Hinkey said, "One of IWWs most successful short story writers is probably Wayne Scheer." She suggests joining IWW so you, too, can keep a look out for his yahoos to get your own list started.
Hinkey also said, "Of course, we have Google which can be a writer's best friend if used well. I just searched for 'publications for short stories.' That came back with 4,310,000 results. The first 3 are:
1. Short Story Magazines: Where to Submit Short Stories: 25 Magazines and Online Publications (thewritelife.com)
2. How and where) to Get a Short Story Published (writersdigest.com)
3. 46 Literary Magazines to Submit to. (letswriteashortstory.com)"
IWW Yahoos and Google are how she's found homes for the short stories she's had published. She's been paid for about 1/2 of them.
Hinkey also says, "Rejections can be helpful. Almost every successful writer out there has a story about how many hundreds of rejections they received first.
"Rejections can tell us either we, as a writer, or our story, isn't quite ready. I think it was someone on IWW who posted---way back when I joined in 2005 or 6--that until you've written a million words (that have been tucked in a drawer, only shared with family and friends, or rejected) you aren't ready to be published.
"On that bit of advice that stuck with me, I have 3 novels tucked away in drawers that never saw the light of day. (OK, I did share one--I'm embarrassed to say now--with a few friends. It deserved to stay in the drawer.)
"I just Googled that bit of advice (Google search: "Write one million words before publishing") and got a number of interesting articles.
"That's not to say you or any of us aren't ready to be published, only an interesting item I picked up on the IWW list that's stayed with me all this time.)
Lynne M. Hinkey
Author, Marine Scientist, Curmudgeon