Usually, when a half-dozen or so magazines have turned down one of my stories, I go back to see if I can improve it. Usually, the story is accepted on my next round of offerings. Once in a while, I have another go at improvement, but then I may stubbornly think it’s a good story and keep sending it out until some second- or third-tier magazine likes it.
My “Gigolo” set a record, turned down seven dozen times (!) before Goat’s Milk Magazine, a Canadian online litmag, accepted it.
They published it with some typos, including my name (!), but you can read it at their website, here==>>

Or at mine, right here==>>