Born in Mandatory Palestine, Levy began his career as a singer and music performer in various clubs around Tel Aviv. He also appeared in the musical Hair. During the 1970s, Levy performed in France for a duet known as "Shuki & Aviva". Together with his partner Aviva Paz he scored a hit single throughout Europe called "Signorina - Concertina" which sold two million copies.
Levy and then-partner Haim Saban managed the now-defunct Saban Entertainment, a production company responsible for 1990s-era series Masked Rider, VR Troopers, Big Bad Beetleborgs, and the Power Rangers franchise. The company was be sold to The Walt Disney Company by the end of the decade.
Levy is noted for his prolific career in composing music; he has a total of 14 Gold- and Platinum-certified records and has composed theme tunes for more than 130 TV shows, which makes him the world-record holder in this regard.
Levy was married to television actress Deborah Shelton (Dallas) and was also previously in a relationship with television actress Sarah Brown (General Hospital). He has two daughters from these relationships.
