I'm the biggest HP fan I know so please excuse the following post.
I have to admit that I'm a
tiny bit of a Harmony shipper (I rarely take the time to read Harmony fics, though). I don't mind R/Hr because I don't like Hermione at all so I don't really care who she's with as long as it's not a character I adore and I'm indifferent to Ron. No Dramione, though. It's a stupid name, Hermione probably wouldn't have the wit or cunning to keep up with Draco, and most Dramione fics I've attempted to read consist of Draco insulting Hermione. Actually, I find the entire trio to be quite boring, though I don't get all the H/G hate. Would fans prefer Harry with Cho? Or Lavender, perhaps?
Most of my fandoms belong to Marauders Era and elite pureblood society (no slash, though!): James/Lily, Sirius/Lily (it's a guilty pleasure but S/L writers are just so good), Sirius/OCpurebloodprincess (I think Sirius works quite well with that type whether or not he'd admit it), Lucius/Narcissa, Draco/Astoria, and Daphne/Theo. I also really like various elite purebloods with OCs but it's rare for me to like an OC aside from the elite purebloods who are totally charming and usually only attempted by amazing writers. I've also found that I can tolerate Draco/Ginny and I quite like Teddy/Victoire.
I always have trouble getting past the first chapter of Next Generation fanfics but I don't know what writers are thinking when they put Scorpius in Gryffindor and ship him with Rose.