Fanfic?? there’s no such thing as VC fanfic… pfffft. What are you crazy honestly??!

^Lestat is laughing bc he knows I is sarcastic.
In short, Anne Rice had waged war on VC fanfic in the mid-90s, sic’ing her lawyers on many fanfic writers, eventually breaking apart fanfic sites (“speculative fiction” or “spec” archives/communities) and driving many of these writers to stop writing altogether or do so in a more underground way.
Currently, she’s had conflicting stances on fanfic, but hasn’t made outright war at nearly that level. We try not to tag her in discussions of it, basically, we don’t try to provoke her by making our caches of VC fanfic known. Especially on Facebook, where she’s very active and might see it. She posted this on her FB in 2014 (I think):

Archive of Our Own (aka AO3) should satisfy you. Lots of good things about that site, one of which is the ability to bookmark/download/comment/kudos fics. They also have a mission statement about protecting these fanworks from copyright infringement arguments.
There’s also fanfiction.net, which I haven’t really tried, ppl say it’s good.
You can try my #fanfic tag here, in which I’ve collected some that have made their way to tumblrland.
Also, explore the VC RP community here on tumblr, their threads are a form of fanfic. We don’t really have a wide-spread active VC RP directory but you can start with the vcdirectory (not updated currently, but there may still be some blogs on there to peruse), vcpositivity, and withinthesavagegarden.