In my reading, I look for stories with characters who are real, human and complex, where even the canon happy endings do take work to get to, and no one's all good or all bad. I'll read pretty much anything as long as it has that core of emotional truth!
That said, I will always have a particular weakness for one Remus Lupin, with all his upstanding stoicism and flaws. I love finding a Luna who's written in-character but not overdone (it's really hard to do!). I'm fascinated with Andromeda, and I like a well-written Neville, and stories with a Lily Evans/Potter who's a character in her own right, not just a love interest. All Marauders are heartily enjoyed, especially in stories that go beyond the usual cliches about them. And although I mostly write Remus/Tonks myself, I'm a big fan of reading Remus/Sirius as well. I don't know, somehow the two universes manage to coexist in isolation from one another for me! Well-written genfic is always appreciated.
I mostly write in the Harry Potter world, though I've recently expanded to writing in a couple of other fandoms (Sherlock, Torchwood) and I've sometimes read in some other ones (Merlin, Cabin Pressure, etc. and recently discovered: Miss Fisher!)
Feel free to friend me if you'd like to follow my stories! (Please don't be offended if I don't add you in return right away... I use LJ pretty much exclusively for posting and reading fic, so I keep my f-list focused on that. But all my fic and fic-related posts will always be non-friends-locked and open to all!)
The master list of my fics is here. Everything's on AO3, too, if you prefer to read there. I also have some recs of others' work here.
You're very welcome to translate/podfic/fanart/etc. anything I've written (in fact, I LOVE all of those things!) – just please share the link to your work with me, so I can see and enjoy what you made, too, and link back to the original from your work. Thank you!