I guess I also cannot name 10 couples I shipped with passion.
I haven't watched much TV in the past five years, and even the shows I did watch and enjoyed left me lukewarm at best. Maybe it's me, maybe it's them, but here it is. I watched quite a lot of TV in the nineties, but but now I hardly remember enough passion for ten ships...
Anyway, here is my list
1) Buffy/Spike. Right from the beginning of my being a fan of the show (which was a rerun of Intervention already in 2002), I loved them - as a couple and as separate people. I still love them - the fire and need to read fanfiction are gone, but the warmth stays with me. Deep in mind they met again, and live and fight together for years now. ;)
2)Scully/Mulder. Well, the first time I saw them - mid-nineties, back in Russia, in bad pirated copy on some unknown cable channel - I had no idea what I was watching, and who they are, but I shipped them after the first ten minutes. They just belonged together.
I thought that I wouldn't be able to put anything close to them, but I remembered a cute British series I used to enjoy - Dempsey & Makepeace http://www.imdb.com/title/tt0088503/
It was a kind of buddy cop series, if I understand the genre: she was a British policewoman, he was an American cop, and sparks were so strong, that actors actually got married (according to IMDB).
I am sure that there was something else, but since I cannot remember anything, I evidently didn't ship very passionately.
Among the ships I dislike I don't have many passionate hatreds either.
I don't like Buffy/Angel after season 2. It's not that I think they were good for each other before, but I like the story. After that the story got boring and annoying, and the insistence that their love is the truest love of all was made me question their sanity. I mean I understand why Buffy clang to her love for Angel. I even can understand Angel's feelings. I don't understand what was romantic about it.
Other Buffyverse couples - I just don't care that much about them. They were, then they weren't - okay, whatever. I like the characters, but don't care much about couple-ness.
AtS - the romantic couples are so screwed over there, that it is impossible to ship for me. Ok, Angel/Darla are great, but it's hard to ship them either - I don't really hope that they resolve their difficulties, silly kids, and live happily ever after.
Fred/Wes is the one that annoy me the most. Not because they were wrong for each (they were wrong), not because they were infuriating on-screen (they were, but too short time), but because they never really got a chance to explore how bad are they for each other. It was all about Wesley's pain: he loved the girl, he lost the girl, but it was never addressed that the girl was different from a shining paragon he loved.
Come to think, Gunn/Gwen and Wes/Virginia were fine, but too short-lived to feel anything about them.