He can beat mangetsu no doubt and possibly chiyo and mifune... Not hidan and kimi
According to you, Hiashi has the potential to slo Tsunade, Sakura and Shizune but loses to Hidan and Kimimaro? I am disappointed.
Anyway:
Hiashi vs Hidan
Hiashi mid difficulty
Hidan has no way of getting blood from Hiashi when Hiashi has access to heavenly rotation and presumably full body blow to deflect the scythe. Hidan is also a close-mid range fighter so Hiashi can just smash him with a vacuum palm, sending him flying and also destroying his scythe much like Shikamaru did. Gentle fist can paralyse Hidan thus Hidan loses the battle if he can no longer move.
Hiashi vs Kimimaro
Hiashi mid-high difficulty
Hiashi would win since both are CQC oriented fighters but Hiashi is better at CQC considering he is far superior to part one Neji who was on par with part one Lee. That same Lee matched Kimimaro's taijutsu prowess but unfortunately for Lee, everytime he'd attack Kimimaro, he himself would get hurt. Hiashi, however, can emit chakra out of his palms so him touching Kimimaro won't give him major injuries and Kimimaro's bones can't tank gentle fist. Sawarbi no mae can be countered with Hiashi's level of rotation since any bones that come in the rotation's area will get deflected to the side.
Hiashi vs Mangetsu
Hiashi high difficulty
I believe gentle fist can shut down Hozuki logias. It would be a tough fight since Mangetsu has access to a variety of swords but he can only use one at a time.
Hiashi vs Chiyo
Hiashi mid-high difficulty
Hiashi's vacuum palm has more destructive power than any and all of Chiyo's puppets combined. Once he pushes them away, he can finish Chiyo off. Rotation guards against Chiyo's projectiles and poison gas can be seen by Byakugan so then Hiashi can hold his breath and move out of the way.
Hiashi vs Mifune
Hiashi mid difficulty
Mifune is a very strong CQC fighter and is faster than Hiashi but Hiashi has greater awareness due to his Byakugan and a ranged advantage because of his vacuum palm. Also rotation deflects Mifune's sword slashes.