punched Draco Malfoy in the nose for being an idiot
purposefully performed a confundus charm on whatshsface WHILE HE WAS FLYING just so Ron would win (omfg that is so fucking dangerous)
literally pulled a fucking Bourne Identity on her parents and managed to set them up in fucking Australia (jesus christ she literally made it so that she NEVER EXISTED wtf that’s so fucking 007)
Convinced the Ministry of Magic to give her an incredibly dangerous and volatile device that allowed her to ALTER TIMELINES COMPLETELY (just because she was so smart, literally, that is the reason, her “potential”)
Has enough basic survival skills and badass magic to literally disappear to the middle of nowhere and flourish AND figure out Voldemort’s plot with Harry
Hermione also figures out not only what Voldemort’s plan is, but generally how to beat it, WAY BEFORE VOLDEMORT EVER DOES. Why? because she is just that much smarter and better at magic than everybody else
in conclusion: Voldemort wishes he could be as awesome as Hermione, that’s why he wants to kill her so bad.