Neglected characters. Let's talk about the black sheep!

Im not quiet sure I understand your question, but I'll cive it a go.
I really don't do that. I cant choose one character over the other because one common point isnt enough to entirely isolate a pair of characters and say you hate one and love the other.
But if I had to choose it would be McGonnagal vs Umbridge.
Both are strict and orderly and lovers of plaid and cats
But Minerva is much more fair and understanding then Umbridge with her hero-worshipping half blood hateing self
So I prefer Minerva

Percy Weasley annoys me so much, he's so stuck up and disrespectful, even when he doesn't talk and is standing there doing nothing I still want to smack him and he doesn't really have a purpose.I know this isn't a pair but he isn't part of a pair since he leaves but I do love the rest of the Weasley's, they help and love and aren't stuck up twits, I even like Ginny and for some reason people find Ginny annoying, I don't.

I think I understand, so characters who are usually portrayed as rivals or as a dynamic duo, so they usually both have the same amount of fans who pretty much dislike the other one, am I right?

So, I can think of one, Hermione and Luna. In OOTP, Luna becomes Harry's friend, but gets in arguments with Hermione, them being pretty much opposites, but sharing a friend. So, I can say I prefer Luna. She goes by her own opinions, and has a little more personality, and also is very amusing to me, being unique and pretty much weird. Hermione goes by the rules and sticks to the books, at least until DH, where she obviously changes.

im seein
luna and hermione
luna is more…fun, odd, spontaneous
hermione is strictly NOT A LOT OF FUN, more boring *yawns*, etc…I PREFER LUNA MORE.

Well, for me I think it'd have to be Percy and Severus.

Both characters made huge mistakes that damaged relationships with the people they cared about: Severus called Lily a 'mudblood' and Percy chose the ministry over his family. Both made choices based on what was good for them: Severus joined the Death Eaters and Percy (again) choosing the Ministry and staying on the Ministry's side even when they were in the wrong. And both worked very hard to fix the mistakes they made: Severus becoming a spy and Percy coming back to fight in the war.

But I prefer Severus much, much more than Percy. I think we see a lot more of the why with Severus. We see the development of him, see how he went from this little boy abused at home to this powerful spy. But, from book one, Percy was always all about himself, making himself look better, getting himself higher up on that "food chain." There really wasn't a whole lot of push to get Percy to that point.

Arthur-lucius : people love lucius because he's a hot dad, and it seems many people forget about arthur, he's amazing father, he deserve some love people
Neville-harry : I LOVE NEVILLE, harry maybe the chosen one, but neville is my chosen guy !!
Mrs.Norris-Crookshanks : I don't know why but I just didn't like Crookshanks, and I feel sorry sometimes for Mrs.Norris so many people want to kick her,