It's been said elsewhere, but it bears repeating:
Even if you plan on sticking with LiveJournal (and seriously, unless there are wholesale deletions, I don't see a huge migration, herd-like, to any one place) and even if you are ready for the project on fandom archives and fandom journaling sites, if you write, now would be a good time to look for a place that can house your fiction, that isn't as subject to the same kind of TOS (or arbitrary application of it) as J or other journaling sites are. If you are a reader, then by all means, encourage your favorite authors to archive elsewhere too.
I have a website -- actually a couple of them. And I don't archive all my stuff (only when I think about it) but ISP's go out of business or get sold, other stuff happens. But I Still archive here there and everywhere, because it makes sense. I don't have an extensive listing of all fan-friendly archives, so please feel free to add your own and I'll recompile a new post with additions.
Multifandom archives are best for this list, but I'll take the fandom specific ones too. Let me know if there are restrictions (like if submissions are juried, or have age restrictions.)
I prefer author controlled archives (like, yes, fanfiction.net, but lots of fannish archives are using author controlled e-archiving software.)
http://www.slashfanfiction.com/ -- Slashfanfiction. Obviously slash only, multifandom
http://www.the-archive.net/ -- Archive the End of the Universe. Requires and invitation from an existing member. I am a member, but I'll have to poke around to figure out how to actually get the invites to extend. But there's a link to the forum where you can request one. Multifandom
http://www.squidge.org/~peja/cgi-bin/index.php -- the Wonderful World of MakeBelieve on Squidge. You may have to join the maillist. I've never posted there, but it's been around for awhile
Also, if you have a website, please consider putting your work in on fanworksfinder.com. If you have a lot (And I did.) you can put it all in a spreadsheet and the site OP will upload everything for you. IT took me a couple of hours to format the spread sheet but it was well worth it.
uh, disturbing is that the following archives seem to have disappeared
The Net Cafe
Strange World