For good free fiction on the web...
The Deathworlders was pretty good. What starts as a gag about sci fi worldbuilding (what if humans are actually amazingly awesome relative to aliens?) slowly turns into a long and well crafted space opera thing with entertaining military sci fi segments and the massive disruption of the galactic social order. It's a bit weird to read, as people started writing 'fanfic' of it while it was in progress and that fed back into the worldbuilding in turn. I think that the original series is the best work in that cluster, though. http://deathworlders.com/books/deathworlders/
Worth the Candle is excellent. A guy finds himself literally dropped into a world that quickly turns out to be based on the D&D and other tabletop game campaigns he's run as DM, and uses it as a distraction from his close friend's recent death. Yes, it's an isekai self-insert litRPG, but it's amazingly well written and I don't know how to describe it in a way that does it justice. Lots of actually-good reflection on the nature of stories and how they're told, characters that feel sentient, intelligent, and independent. https://archiveofourown.org/works/11478249/chapters/25740126
Both are still in production and updating fairly regularly.
I'll also tentatively second HPMoR and Unsong.... both are very, very weird though, and designed to appeal to certain kinds of people. If you bounce off them hard, and people very much have, then that's fine.
The real trick with all the free content on the web is how to filter it. If you're looking at free editions of digital magazines, then there's editors and a publication etc. For self-published works, , checking in on topwebfiction.com and the webfictionguide once a year or so is probably a good idea. And then there's creative writing / fanfic communities, where there are upvotes, comments, likes, reviews, or other ways to gauge popularity... I'll name the SB/SV/QQ forums as being a place where some good works are hosted. There's also royalroad, fanfic havens ff.net and ao3, weirder places that translate east asian web novels, and a bunch of people who just put things up on a wordpress blog (Worm style). But even finding good communities and recommendation lists is a skill in itself! The fact is that there's more content and more direct access than ever before, yet that also means that you can wade right into the 'slush pile' of first-writer abominations and other absolute trash.
Although if you've got a popular blog, a good technique is to ask your readers to help you fill in your reading list.
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Another webcomic I highly recommend would be Sunstone. Yes, it's lesbian BDSM romance that verges on being outright porn in places. It's also really good: both main characters feel like real people, the kink stuff is both important to the story and informed by the author's experience, and the art is amazing.
It's one deviantart gallery per chapter. Start here: http://shiniez.deviantart.com/gallery/35675685/chapter-1-completed
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