Of the big four, and I'm gonna get a lot of hate for this most likely. I'm not a fan of Naruto...not saying I hated it, just wasn't my thing. ~amendment... fan fics can perform miracles. I may even try my hand at a Naruto fic eventually, but I do apologize for those who like canon ships. Those don't really hold any weight with me and this is a fan fiction site. Don't like it, not trying to sound rude, then no one is forcing you to read it!

If asked about what ships I like, it'd be faster and shorter to list the ones I don't like.

Bleach:

-Ichigo x Tier/Tia

-Ichigo x Yoruichi

-Ichigo x Lisa

-Uryu x Nemu

-Uryu x Nel (controversial and I read a story that makes them a good pair)

-Chad x Orhime

-Chad x Isane

-Renji x Rukia

One Piece:

-Luffy x Robin (my preferred ship)

-Luffy x Vivi

-Luffy x Boa

-Zoro x Tashigi

-Sanji x Nami

-Sanji x Nojiko

-Ussop x Kaya

-Ace x Bonnie

-Shanks x Makino

DB/Z/S:

-Goku x ChiChi

-Vegeta x Bulma

-Gohan x Zangya

-Gohan x Eighteen (18)

-Gohan x Caulifla (1: hope that's spelled right, 2: only a possibility)

-Krillin x Maron

-Krillin x his perfect match OC

Fairy Tail:

-Natsu x Mirajane

-Natsu x Kagura

-Natsu x Ultear

-Natsu x Cana

-Natsu x Sayla

-Gray x Erza

-Gray x Juvia

-Gajeel x Levy

-Laxus x Lisanna

-Laxus x Cana

-Elfman x Evergreen

-Romeo x Wendy (time skip X791)

-Sting x Yukino

-Cobra/Erik x Kinana

Naruto:

-Naruto x Yugao

-Naruto x Mei

-Naruto x Ino

-Naruto x Temari

-Naruto x Yugito

-Naruto x Samui

-Sasuke x Sakura

-Shikamaru x Temari

-Shikamaru x Ino

Last two kinda depends on who I pair Naruto with.

Just from those you should be able to tell I'm not much of a canon shipper. Sorry if that displeases some of you. That's just personal preference, aside from harems I'm not for canon ships.