Most people think that Tsunade is slow and sluggish. In fact, people often think her affinity to slugs make her slow. They bring in databook numbers to say that she is slow. So I will actually bring her feats into play here.
when Tsunade shoves Gamabunta's sword into Manda's mouth I'd call that a speed of feat. Thinking Logically about the feat Manda went underground and blitzed Gamabunta. Neither Gamabunta nor Jiraiya had time to react. It would make no logical sense for Tsunade to be in the air with the sword with no target as she has not the ability to hover. Therefore, she must have jumped and reacted after Manda appeared above ground and managed to attack him with such accuracy coming from off panel.
When Tsunade threw herself in front of Orochimaru's blade that was a feat of speed . And considering Jiraiya was only able to to form a single handseal before Oro's blade struck Tsunade and no one even thought it was capable to get in the way judging by their shocked faces yet Tsunade did.
And when Tsunade attacked Orochimaru I'd consider that a feat of speed considering Orochimaru was paying close enough attention to her he could tell her trembling had stopped yet he was completely unprepared for Tsunade's kick.
When Madara was attacking the 5 kage with his Katon none of the kages were able to react in time not even A. Yet Tsunade not only saw the attack but was able to respond as well.
When Tsunade blitzed Shizune, Shizune had no way of reacting in fact she was completely caught off guard.
And Tsunade was able to use her speed to avoid Naruto's attacks without much effort.
And Tsunade literally blitzed Kabuto in the time it took to push up his glasses.
She was also able to blitz the advisers as well
In addition the her and A were able to completely approach Bee and Naruto in such a quick manner neither Bee nor Naruto saw it coming and had the kages wanted to they could've blitzed the jinchuurikis.
Furthermore in the time it takes Raikage to punch in his V1 form Tsunade has already began running implying that she is not slow.
The fact that her speed was compared to A's is a great thing. No she is not in his speed range, but being compared to the second fastest character alive would she's not slow, the same way Raikage's strength in comparison to the strongest character alive does not make him weak.
When Kabuto was attacking Tsunade is was a fact that Tsunade had been out of battle many years. It was a fact that she had not been resting. It was also a fact that she was holding back based on her not using Katsuyu or Creation Rebirth.
Even still, Tsunade was able to react very well defensively.
And Tsunade was able to blitz Jiraiya and force Kabuto into a position in which he could not avoid taking damage and thus he had to resort to exploiting her hemophobia.
Additionally in her fight against Madara, Madara had her taking one 5 autonomous clones of himself wrapped in Susanoo. Meaning they had the sharingan precognition and the rinnegan shared vision yet Tsunade was still able to get behind a clone and incapacitated it. And because each kage received 5 clones to fight, yet we only see four in the picture two of which are definitely left standing behind Tsunade, another is ambigously farther away either collapsed on top of a stone sharing a fate similar to the clone in front of Tsunade or unable to close the distance. We can reason that she had incapacitated at least two clones.
We again saw Tsunade's reflexes during Madara's attack when Madara was using his perfect Susanoo Tsunade had started another jutsu.
In addition she was able to coordinate a joint attack with Mei, A, and Oonoki when A was in his raiton armor.
Orochimaru and Kabuto were nearly blitzed together in Tsunade's initial up front attack they narrowly escaped death.
Tsunade also managed to blitz Madara with him being not only completely caught off guard but incapable of preparing his counter attack before Tsunade's attack landed.
Even in a fatigued state so great that she was moments away from going into a coma she managed to beat anbu to Pein.
Additionally, Tsunade's hands moved fast enough that not only was she able to disarm and neutralize Naruto but pickpocket him and hide away his wallet all without being seen in the action, while intoxicated.
And when Pein was about to attack with Asura's path Tsunade's arm had already risen, which means logically she could have simply struck the blizting Asura path. So she was a victim of plot no jutsu and fatigue
Even when distracted and drunk, Tsunade was able to respond to what she thought was a fully powered rasengan using only one finger.