Minkoff was born in Palo Alto, California. He studied at Palo Alto High School and graduated from California Institute of the Arts in the early 1980s in the Character Animation department. While he was working his way through CalArts, he was hired by Disney as a cleanup artist in 1983 and worked on The Black Cauldron.
He has directed several films for Walt Disney Feature Animation, including The Lion King (1994) and two of the Roger Rabbit shorts: Tummy Trouble (1989) and Roller Coaster Rabbit (1990). While working at Disney he wrote the song "Good Company" for Oliver & Company. He also made the film The Haunted Mansion (2003).
|1985||The Black Cauldron||Inbetween Artist|
|1986||The Great Mouse Detective||Supervising Animator|
|1987||Sport Goofy in Soccermania||Animator|
|1987||The Brave Little Toaster||Character Designer|
|1988||Oliver & Company||Lyrics: Good Company|
|1989||The Little Mermaid||Character Animator|
|1990||Roller Coaster Rabbit||Director|
|1991||Beauty and the Beast||Pre-Production Script Development|
|1993||Trail Mix-Up||Executive Producer|
|1994||The Lion King||Director|
|2003||The Haunted Mansion||Director|