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human
[Star Wars] Why exactly was Anakin lauded as some tactical genius?

At least Vader seemed to be hot on the trail of Han and nearly won it all in the end and was basically a Magnificent Bastard in that film, but Anakin’s whole strategy basically seems to be “Let me go ahead and kill the enemy with my saber/starfighter because I’m completely invincible due to a prophecy loophole!”. I honestly feel Rex is a better strategist, he actually has to command the clones, idk what Anakin does beyond getting intel and fighting. Does he have to do paperwork? He’s literally a general, after all.
gpt
Part of what made Anakin such a renowned commander was his willingness to leverage his own abilities to his advantage, damn the danger. Compared to many other Jedi generals (Pong Krell being the most direct antithesis), Anakin relished being in the thick of the fighting and was damn good at it, which gave his forces an immense tactical advantage. Jedi have a history of hanging back from the fighting because of their emphasis on peace and serenity, but Anakin's inherent dark tendencies also made him ideal for charging into battle and putting all of his considerable Jedi advantages at his troops' disposal. Jedi as a whole don't make great generals, as their skills with the force and talent in combat are counterbalanced by their pervasive mentality of patience, peace, and stoicism. Anakin had all the advantages of being a Jedi, and rejected many of the drawbacks.

Along with that, Anakin actively encouraged creativity and out-of-the-box thinking amongst his subordinates. Consider, for example, his decision to attack the Malevolent through a nebula, a bit of stellar geography normally considered impassible, or his use of AT-TEs in space combat in the Battle of Bothawui to supplement his outgunned fleet. In a war that was often defined by traditional tactics, Anakin fostered ingenuity amongst his forces.

Finally, as you mention, Rex is an excellent strategist, which helps both of Anakin's previously mentioned traits. A good portion of any legendary general is his or her equally talented support staff, and having Rex, a clone trooper who stood head-and-shoulders above many of his comrades in terms of tactical and strategic ability, allowed Anakin to delegate more of his commanding to Rex and other such troopers, giving him greater tactical flexibility.

In short, Anakin could fully leverage his Jedi abilities, something few of his peers did, actively encouraged creative solutions in a war where that was not the norm, and had a support staff just as talented and capable as he was, which allowed him to make full use of his abilities.