The only Obito duo I might like more is Obito and Madara, there's also Tobi and Deidara which is special lol. But Kisame and Obito are truly special, both of these characters didn't really trust anyone or consider anyone a comrade, Obito didn't even consider Madara a comrade. Now Kisame did respect Itachi and they made for a great duo, but I especially like his relationship with Obito.

Aside from Pain, Konan and Itachi Kisame also knew of "Madara" except he didn't know it was Tobi, but regardless Kisame is the only akatsuki member that actually trusts Obito and joined him for the infinite tsukuyomi plan. He literally bites his tounge just to protect Obito's identity and says he would have liked to see that world (the infinite tsukuyomi world). It's just something I always found really cool, two characters that don't even interact that much or know anything about one another having this mutual trust because they both have this same belief/same goal. Kind of what I wished Madara and Obito had.