I applaud your efforts and formatting; however, I disagree. Her feats have not warranted a High Kage level. She has yet to surpass Tsunade who herself is at best a Mid-Kage level shinobi.
Medical Skills
Sakura's medical skills are without a doubt top tier.
1. The ability to experience a new poison, and within a constricted time frame, extract the poison and create an antidote with at most three remedies (possibly two).
2. The ability to stop the bleeding of an attack whilst it still resides in you (Sakura being impaled by Sasori whilst protecting Chiyo).
3. The ability heal a vast array of injuries as well as a plethora of individuals over and extended period (Sakura healing fodder during the war).
4. The use of chakra scalpel as well as the precision in its use (Cut open Naruto to stick her hand in for CPR).
5. Application of Medical knowledge for combat.
Ninjutsu
1. Expanding Medical Ninjutsu for combat via Chakra Enhanced Strength.
2. Mastery of the Yin Seal (and likely the Byakugou in the future).
3. Summoning Contract: Katsuyu
The notable problem here is the lack of ranged Ninjutsu. While Katsuyu does add a bit with her size... overall her acid spit is still not a far reaching attack. Thus forcing Sakura to HAVE to get close to enemies for combat, but also having no method to COAX enemies to get in close.
Taijutsu
Overall Sakura's Taijutsu skills are under par. Almost all of the Sasori puppet fight is in fact filler (such as the gif you posted). This is due to the combat style she mastered. In short, basically Sakura will evade and dodge the enemy until an opening appears, and then pushes in for an attack.
While a rather efficient tactic, this can ultimately become troublesome when dealing with highly experienced or overall better Taijutsu combatants who will not be leaving themselves exposed. It will also be troublesome against people who are long ranged enemies who trump her in overall stamina (For an extreme example, you could say someone like Sasuke who could spam his Enton orb, or say Naruto's continuous Bijuudama).
Genjutsu
Sakura has shown only a basic level of Genjutsu. While she was labeled as a Genjutsu type, she has next to no feats in the use of Genjutsu. She has successfully countered it.
1. During the Preliminary Rounds, she managed to break the mind control through will alone.... however, others have been seen to do so even faster (Obito). Giving rise to how determined Ino was then, or how the wills of others may compare against Sakura.
2. During the Chunin exams she shook of a basic Genjutsu from Kabuto. Though others including Konoha shinobi, Shikamaru and Shino also dissipated the technique.
As of part II she has hardly associated with any genjutsu. She hasn't gone up against any of the top tier Genjutsu notably of Uchiha Origin.
Intelligence
Sakura bolsters a great mind that can keenly analyze situations. She was capable of learning medical intel in a relatively short time period, and has been shown to apply that knowledge into physical weapons like sleep powders. She has also shown a fairly good ability to set up traps for a perimeter defense.
However, there are plenty of people who exist within the series possessing equal or greater mental analysis, and even some who, while lack this trait, far make up for it through passion and overall offensive power.
Conclusion
If we wanted to assign a High Kage aspect to Sakura.... we'd say her Medical Ninjutsu and application of of the aforementioned is easily in the top 5. The problem here comes from an overall average/below average statistic in all of the other basic ninja categories and a lack of experience which lands her in a High Jounin position.
Her overall ninjutsu arsenal is excruciatingly limited to close range combat. She possesses no elemental jutsu or a chakra based technique that will have a long range, and force an opponent into close combat. This is even worsened when her overall skill in close combat pales compared to that of either more experienced, faster, or just plain better Taijutsu combatants such as say Tsunade (experience), Rock Lee (faster), or even Might Gai (Just plain better).
*note: I just gave one person for each example.... obviously there can be some others who fit these as well as some of these people fit multiple categories*.
Furthermore, she has only a basic Genjutsu base. Being able to get out of a Genjutsu. She still has yet to experience a top tier genjutsu such as Tsukiyomi and break it, or show an ability to cast Genjutsu. Her intellect is above average, but even High Jounin have above average intellect. Heck even people who'd be below her like Shikamaru and Shino have high intellect. Her physical strength without chakra enhancement is good, but it isn't exemplary like the pure blood Senju.
Ultimately, even while she has an impressive medical background, she overall lacks in experience, range, and has a heavy reliance on CQB.
Notable Feats
1. Mastery of the Yin Seal.
2. Extraction of Sasori's dangerous poison.
3. Despite time constraints the production of several antidotes to said poison.
4. Assistance in Sasori's defeat.
5. Defense of Konoha during Pain's invasion (defeating a summon. General healing of the injured).
6. Healing Hinata who'd been stabbed at least somewhere around the upper stomach, and had bled for an extended period.
7. Combat in the 3rd division for an unknown period of time.
8. Healing the Injuries of Gai/Kakashi.
9. Restoration of Naruto's Chakra Post-Tenpachi.
10. General healing of injured during the war for an unknown period of time.
11. Performing the most bizarre form of CPR I've ever witnessed: kept Naruto alive though.
12. Utilizing Katsuyu as a stepping platform for Shinobi to combat the Shinju.
13. Catching Zetsu-Neji's slip up and capitalizing on it.
The more you know

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