I mostly enjoy fics with Hermione paired with a dark character (who doesn't suddenly become an upstanding citizen, but still has a soft spot for her). It's probably a phase, but I doubt I'll get over it soon. I also enjoy Hermione paired with... well, anyone really. I usually stick to crossovers, but I do go back to HP-Only every now and then.
Favourite pairings, or what I keep myself on the lookout for:
Hermione/Scabior (I have a soft spot for him)
Just about any Hermione with a Death Eater, to be honest. I'm a huge fan of rare pairs.
Hermione/Coulson (This one especially)
Buffy the Vampire Slayer/AtS
Hermione/Ethan Rayne (My favourite of all of them)
Lord of the Rings
Hermione/Elf other than Legolas
Law Order: SVU
...nearly any crossover pairings, really.
I don't like Ron Weasley. I don't like him paired with Hermione, nor do I even like them as friends (though I will tolerate that much). I believe an OOC Ron is any fic where he does or says something kind, sensitive, wise, or clever that wasn't purely accidental.