Here’s a quick list of some sites that publish fiction you can read online at no cost, and their latest offerings:
Apex Online
“Darkness–and the Light” by David Niall Wilson
Chizine
“The Vine that Ate the South” by Bill Kte’pi
“The Mayor Will Make a Brief Statement, and Then Take Questions” by David Nickle
“Waiting Period” by Sunil Sadanand
Clarkesworld Magazine
“I’ll Gnaw Your Bones, the Manticore Said” by Cat Rambo
“Transtexting Pose” by Darren Speegle
Darker Matter
“The Black Orophant” by Daniel Braum
“Final Report” by B. A. Barnett
Strange Horizons
“The Captain is the Last to Leave” by Caroline Lockwood Nelson
Trabuco Road
“But She’s Only a Dream” by Nisi Shawl
The Pedestal Magazine
These sites all pay their contributors well, which is super-important. If you want a good read, check them out.