Anime:
Basilisk, Cardcaptor Sakura, Chrono Crusade, Cowboy Bebop, Dragonball Z, Escaflowne, Fruits Basket, Fullmetal Alchemist, Gilgamesh, Gundam Wing, Gunslinger Girl, His and Her Circumstances (Kare Kano), Inuyasha, Naruto, Neon Genesis Evangelion, Noir, Rurouni Kenshin/Samurai X, Samurai Champloo, Samurai 7, Trigun, Trinity Blood, Wolf's Rain, Yugioh, Yu Yu Hakusho, etc.

Manga:
Bleach, Crescent Moon, D.N.Angel, Full Moon wo Sagashite, Hana Yori Dango (Boys Over Flowers), Hot Gimmick, Immortal Rain, Kare Kano, Naruto, Ouran High School Host Club, Peach Girl, Samurai Deeper Kyo, Trigun, Tsubasa Reservior Chronicle, xxxHOLIC, ect.

Avatar: The Last Airbender, Teen Titans, X-men: Evolution, Baten Kaitos, Tales of Symphonia, Tales of the Abyss, Zelda, Kingdom Hearts, Xenosaga I/II/III, Final Fantasy X/X-2, Final Fantasy XII, etc.

I'm all for alternate/odd pairings. The couples that I like are: (not necessarily in order)

Avatar: The Last Airbender:
Katara/Zuko, Jet, Haru
Toph/Sokka, Zuko, Aang

Bleach:
Orihime/Ichigo, Ulquiorra, Shinji, Aizen, Grimmjow, Ishida
Rukia/Renji, Byakuya, Kaien
Hinamori/Hitsugaya
Rangiku/Gin
Nell/Nnoitra

Final Fantasy X/X-2:
Rikku/Auron, Tidus, Baralai
Yuna/Seymour, Baralai, Gippal, Shuyin

Final Fantasy XII:
Penelo/Vaan, Balthier, Basch, Larsa, Reks, Vayne
Ashe/Rasler, Basch, Vaan

Fruits Basket:
Tohru/Kyo, Haru, Hatori, Shigure

Gundam Wing:
Relena/1,2,3,4,5

I am pro-Relena.

Harry Potter:
Hermione/basically any guy in Harry Potter except Severus Snape
Luna/Harry, Ron, Neville, Dean

Host Club:
Haruhi/Host Club, Nekozawa, Kasonoda

Inuyasha:
Kagome/Inuyasha, Miroku, Hiten, Kouga, Bankotsu
Sango/Inuyasha, Miroku, Sesshoumaru, Kouga
Rin/Kohaku, Sesshoumaru

Naruto:
Sakura/Naruto, Kakashi, Neji, Gaara, Itachi, Shikamaru, Kiba, Shino, Lee, Suigetsu, Juugo, Sasori, Deidara, Sai, Hidan, Tobi/Madara, Kakuzu, Pein, Akatsuki
Ino/Naruto, Neji, Shikamaru
Tenten/Lee, Naruto, Kankuro
Hinata/Neji, Kiba, Shino
Tsunade/Jiraiya

I'm pro-Sakura

Smallville:
Chloe/Clark, Lex, Oliver, Davis, Bart, Bruce

Twilight:
Bella/Jacob, Jasper, Carlisle, Embry
Leah/Jacob, Embry, Jasper

Xenosaga:
Shion/chaos, Albedo, Gaignun, Ziggy, Canaan, Wilhelm
Momo/Jr

Yu Yu Hakusho:
Botan/Hiei, Kurama
Keiko/Yusuke

Yugioh:
Anzu/Ryou, Bakura, Malik, Marik, Yami, Joey, Kaiba, Duke
aibou/Anzu/yami
and Rebecca/Mokuba

I am pro-Anzu/Tea.