Assuming naruto sasuke tsunade and kakashi were out of the picture

[Dark Magician]

Sakura shes the strongest one left.

 

[Silver Wolf]

The only Hokage candidates fit for the position other than Naruto, Sasuke, Tsunade, and Kakashi are:

-Shikamaru, because he is very smart. He could find other powerful shinobi to fight for him and create strategies to win if someone ever came to attack the village. (That would require alot of prep-time though.) Hopefully he would be good in a political sense though, so maybe no one would want to destroy Konoha during his reign and that could be avoided.

-Sakura. She would just be the next Tsunade, minus the drinking/gambling problem. I think she's slightly smarter than Tsunade as well, so if she were to reign I believe it would be slightly better than Tsunade's.

Shikamaru and Sakura are also two of the more sane individuals in the series and can act serious when they need to. I think they can balance their personalities and work life pretty well.

Also, after this war is over, the majority of powerful enemies that were against Konoha will decrease. No clan that gets more powerful from hatred exists. Kabuto is no longer evil. Obito is no longer evil and is going to die soon. Madara will die. Akatsuki is gone. Sasuke is on Konoha's side in his own way now. Orochimaru claims to have no reason to be evil now, but I doubt that. Oro is pretty much the only villain who may still oppose Konoha at the conclusion of this war. After this war, unless new villains arise, the new hokage would have less problems to worry about than all the past ones did (well antagonist wise anyway...bijuus problem still needs to be solved).

Note: Really though, I expect that Naruto will be hokage and Sakura/Shikamaru to be his advisors. Sakura can also be head of the medical division and Shikamaru can be head of the intelligence division (he can change the ways of Root and he can develop a better intelligence agency that doesn't use as harsh methods) too.

Umm.. do you know that the intelligence agency and root are too different things, and if there's anyone who'll lead the IA after the war it's Ibiki. As for Shikamaru, he will be the advisor and right hand man of Naruto, but he'll still do missions as a normal jounin, and by the way there's nothing such as medical corps, that is something that only exist in war, so for Sakura she will be just like Shikamaru, despite being an advisor she will still do missions like any other shinobi

 

[Sugiyama]

shikamaru or sakura why not

 

[RicardoA]

Sakura.
Its somewhat implied that she has everything in Tsunade's arsenal. The only thing she lacks compared to Tsunade is her base abilities; Tsunade has natural super strenght, high stamina (Uzumaki lineage), great durability (Senju body), above average chakra reserves (Senju + Uzumaki) and going by the databooks, much better taijutsu and is more intelligent.
Shikamaru being the wisest and most intelligent shinobi in the world, would be her advisor and assistant.

 

[sharingansennin]

How did everyone forget about shikaku? He would definitely be a candidate in my opinion.

It could be Gai with Shukaku as an advisor.

you clearly don't keep up with the manga

 

[Lulgasm]

Obviously ramen man.

 

[-Drāke-]

TenTen or Ramen Guy

 

[m33km00k]

Well first off they have to have the willingness to become the Hokage. Excluding those chars you mentioned, the only ones remaining who declared their intention of becoming the Hokage is Kiba, Konohamaru, and Sakura. Kiba is just smh, Kon is too young so that just leaves Sakura.

 

[SIX PATHZ]

shikaku nara if he is alive.

 

[Sageflash]

Iruka Umino. Seriously.