The song garnered positive reviews from
music critics. Kyle Anderson for
MTV considered "(You Drive Me) Crazy" as "a similar-sounding anthem [to '...Baby One More Time'] with some streamlined
rock guitar taking center stage (there's even a solo). It's catchy enough". Spence D. of
IGN considered "(You Drive Me) Crazy" a "[Max] Martin's glossy grown-up pop" song, while Caryn Ganz of
Rolling Stone called "(You Drive Me) Crazy" a "further hit" from
...Baby One More Time, along with "
From the Bottom of My Broken Heart" and "Sometimes". Music critic Walt Mueller wrote "When Spears starts to sing on this one, she sounds a lot like
Janet Jackson". Christy Lemire of the
Associated Press noted that the song and "Stronger" are "so lamely feel-good" tracks that they "could have been the theme song to a
Karate Kid sequel". Evan Sawdey of
PopMatters called it a "lightly dorky" song, and
Stephen Thomas Erlewine of
AllMusic deemed it as a "fluffy
dance-pop at its best". In a list compiled by Sara Anderson of
AOL Radio, "(You Drive Me) Crazy" was ranked ninth in a list of Spears's best songs. During the 2001
BMI Pop Awards, "(You Drive Me) Crazy" was honored with the award of Most Performed BMI Song. While reviewing
...Baby One More Time on its 20th anniversary,
Billboards Chuck Arnold felt that "sparkling with the
Midas touch of Max Martin, 'Crazy' perfectly captures the crazy giddiness of young love -- the kind that keeps you up all night". The staff from
Entertainment Weekly placed it at number 22 on their ranking of Spears's songs and wrote: "highlighted by her overpronunciation of "you", bell rings, and a backup choir that turns the chorus into a massive singalong. ['(You Drive Me) Crazy'] captures Spears at full force, with a robust vocal performance and an ab-emphasizing choreographed dance, remembered best through its music video".
Bustles Alex Kritelis Reilly preferred the Stop remix over the original album version. Nayer Nissim, from
Pink News, deemed it "another perfect bit of late '90s pop. Very nearly as catchy as her debut". Shannon Barbour from
Cosmopolitan opined that it was "not her best song, but it's insanely addictive". Nicholas Hautman, from
Us Weekly, deemed it the singer's ninth greatest single and said: "This quasi-dorky dance track can be easily summed up using just three words: pure ear candy". For
Digital Spy's Alim Kheraj, the most notable thing was the song's prominent use of cowbells; "backed up by rock guitars and flawless Max Martin production, Britney sounds confident, her vocals clear and powerful". In 2019, the staff of
Billboard ranked the "Stop Remix!" as the 39th greatest song of 1999; Nolan Feeney said that although it was "hardly unrecognizable", Spears's re-recorded vocals, the song's new intro and "her headline 'Stop!' interjection in the reimagined bridge made it something truly worth losing your mind over". ==Chart performance==