Just what is it that あなた like about this couple, because I don't get it?

Honestly, Most of the Sesshoumaru/Kagome stories seem to have もっと見る depth to them. It takes もっと見る than just slapping them together. In addition, I feel that Kagome and Sesshoumaru have もっと見る in common than 犬夜叉 and Kagome do. They are both raising a child of a different race (shippo and rin), They both have little brothers (Inuyasha and Souta) They both ロスト their father. And let's be perfectly honest.. 犬夜叉 is probably never going to get over Kikyo, または grow up, while Kagome is still young and naive in the anime, at some point she is going to gain もっと見る maturity, and tire of Inuyasha's foolishness.

Well yes あなた are right , but I think Kagome should stay with Inuyasha.

Same reason あなた like Sesshomaru and Kagura. Let's just say people have their お気に入り guy character and girl character. Then one thought comes to their mind: "Hey, what if Kagome and Sesshomaru we're a couple?" または "Like each other". Then they start picturing it. We all have different opinions. People likes them for different reasons, あなた won't get all the reasons from people. Like some likes them because they both are his/her お気に入り characters, some likes them because they fit together in their option... Some likes them for their opposite personalities. Not all of us have the same likes and hates as you. We all are different and have out own opinions. Just look at Naruto(The series, not the character). There are so much ファン of pairs that didn't even met each other... Like: はたけカカシ and Anko. Most people like him with her even though they've never met. Does a pairing have to be a canon one to be liked によって fans? I think non-canon pairings are just as good. They didn't have such moments in InuYasha that's why it makes it もっと見る fun to read their FanFiction's and stuff... FanFiction's can be just as good as the anime, depending on how well it's written. I don't really like SessKag myself because I hate Kagome and 愛 Sesshomaru, but the reason that makes me support this pair is because of their opposite personalities. :)

I like SessKag pairings because when Sesshomaru loves someone it would be with his whole heart. The only way for Sesshomaru to truly 愛 someone is if they thaw the ice around his heart. Rin starts the process but I think that Sesshomaru only looks at Rin like a daughter not someone to mate with. Kagome is the perfect person to remove the ice and so the 愛 they have will be strong and nothing can remove it. Not even time. That is why I 愛 SessKag pairings. I hope this helps!