"Crazy for You" is a song by American recording artist Madonna for the 1985 film Vision Quest. It was released on March 2, 1985, by Geffen Records as the first single from the soundtrack album of the film, and later included on the ballads compilation Something to Remember (1995). The song also appears as a remix on the greatest hits albums The Immaculate Collection (1990) and Celebration (2009), and was re-released as a single in the form of this remix on February 24, 1991, by Sire Records to promote the former of these two albums. Producers Jon Peters and Peter Guber, along with music director Phil Ramone, decided to use Madonna after listening to her previous recordings. They employed John Bettis and Jon Lind to write the song. After reading the script of the film, Bettis and Lind wrote the song about the situation in which the lead characters meet at a nightclub. Initial recording sessions did not impress Bettis and Lind, and they felt that "Crazy for You" would be dropped from the soundtrack. However, a new version was recorded which did impress them and was added to the album.

John "Jellybean" Benitez was the producer for the song, and it was a challenge for him, as previously he was associated with recording dance-pop songs only. Initially Warner Bros. Records did not want the song to be released as a single, since they believed that "Crazy for You" would take away the attention from Madonna's second studio album Like a Virgin. In the end, Peters and Guber convinced Warner officials to greenlight the release of the single. "Crazy for You" ushered a new musical direction for Madonna, as previously she had not released a ballad as a single. It features instrumentation from snare drums, harp, bass synthesizer and electric guitar. Lyrically the song talks about sexual desire between two lovers and consists of innuendos. It received positive reception from music critics and earned a Grammy Award nomination for Best Female Pop Vocal Performance in 1986.

The song became Madonna's second number-one single on the U.S. Billboard Hot 100 as well as reaching the top position in the charts of Australia and Canada. It also peaked at number two in Ireland, New Zealand and the United Kingdom, where it was released twice, once in 1985 and again in 1991. Madonna has performed "Crazy for You" in two of her concert tours, The Virgin Tour in 1985 and the Re-Invention World Tour in 2004. The performance from The Virgin Tour was included in the home video releases on VHS and LaserDisc whereas the Re-Invention World Tour remains unreleased. The song has been covered by a number of artists.