Against a Kage-Level Hyuuga
Hidan - Hyuuga Wins - Low-Diff
Let's see Hidan fight against a true Taijutsu master who can also block chakra points. Doubt he would be able to land a hit on them to pull off his Cursed Blood Technique. However if he was to get their blood and place himself in the circle, an easy Air Palm can blast him out of it.
Zetsu - Hyuuga Wins - Low-Diff
Neji was jounin level and defeated one so yeah
Itachi - Itachi wins - Low-Diff
If Tsukiyomi doesn't work, Amaterasu. If not, Susanoo.
Deidara - Hyuuga wins - Low-Diff
His explosions can easily be knocked out of mid air as they come towards him, besides a gentle fist attack can disrupt/release the chakra within any bomb thrown at them. His underground and nano-sized bombs can be can seen by Byakugan.
Kisame - Draw Maybe
Kisame can eat Chakra along with Samehada, but then again Hyuuga can disrupt and release chakra so I don't know how this would play out unless Kisame does the large scale Water Prison or Giant Shark Bomb.
Pain - Pain Wins
Need I say more.
Sasori - Hyuuga Wins - Mid Diff
I say mid diff since Sasori can unleash his Hundred Puppet technique and overwhelm a Hyuuga and draw out their blind spot since they would attack him from all directions though a Rotation can deflect them. His puppet strings would be useless since the Hyuuga can disrupt the link and do what Neji did against Kidomaru.
Konan wins. End Of.
Kakuzu wins. End Of.
I'd say Sasori wins... It's unlikely Hiashi (the only Hyuga capable of taking Akatsuki members outside of White Zetsu and plausibly Hidan) can go without a scratch.
Kisame is more than likely defeated: Water Shark Bomb < Horudora < Hiashi's Air Wall Palm. Byakugan can see through the Hidden Mist. Rotation blocks the smaller scale Suiton.
I'd say Deidara wins. Deidara depends entirely on how Jyuuken effects the bombs.... If they aren't canceled are detonated... Deidara will win with time. Otherwise Hiashi could win with Very High difficulty. Still would go Deidara.
Itachi depends on stamina... Despite what people want to believe, Rotation/Air palm can deflect Amaterasu. Susanoo can't be out for long, and Hiashi has the scale to push that back (keep it from him).
Kakuzu depends on how Jyuuken and Domu react. Taijutsu wise they are about even. Rotation serves as deflections to his Jutsu.
Konan also depends on how Jyuuken effects paper transformation.
Nagato wins
Hidan loses, Hiashi > Kakashi in Taijutsu for those who didn't get that. Hidan's scythe is effective against Hidan as well.
White Zetsu..... Hiashi wins
Black Zetsu doesn't have the scale against Hiashi. He can see Mayfly
Note I only refer to Hiashi as he's the strongest Hyuga.