The video for the song was directed by Marty Callner and received heavy rotation on MTV. It was one of the most requested videos of 1994. It featured the third appearance of Alicia Silverstone in the band's videos, and was the career debut of Steven's then-teenaged daughter Liv Tyler. The decision to cast Liv in the video for "Crazy" was based on the video's creators having seen her in a Pantene commercial. The video is film-like and depicts the two as schoolgirls who skip class and run away, driving off in a dark blueFord Mustang convertible in a manner similar to the 1991 hit film Thelma & Louise. The two use their good looks to take advantage of a service station clerk, and needing money, enter an amateur pole-dancing competition. The video is edited to show the similarities in stage moves of Steven Tyler and daughter Liv. The girls win the dance competition, then spend the night in a motel. They continue their joyride the following day, where they encounter a young sweaty and shirtless farmer aboard a tractor tilling land in the countryside. They persuade him to join them in their journey, where they all go skinny dipping in a lake. The girls take off with his clothes and leave him behind at the lake. Naked, he chases after them, and rejoins them in the convertible. The final seconds of the video show the word "Crazy" spelled out in cursive in the cropland by the still-running tractor as the farmer runs towards it and the girls drive off. Jason London makes a short cameo at the end in a tag scene, reprising his character from the "Amazing" video.
Director's cut
A longer director's cut of the video appears on the compilation Big Ones You Can Look At. This version features a few more provocative clips, and a longer, more risque version of the pole-dancing competition scene. It also removes the scene in which the girls abandon the farmer after skinny-dipping with him. Both versions of the video include an extra reprise of the chorus which is not included on the album and radio versions.
The song appeared on several compilations including Big Ones, A Little South of Sanity, O, Yeah! Ultimate Aerosmith Hits and . Despite bringing much success for the band in the mid-1990s, Aerosmith rarely performed it on tour until it was added to international shows on their 2007 World Tour due to overwhelming demand from fans. It was covered in Glee by Jacob Artist and Melissa Benoist, mashed up with Britney Spears' " Crazy."