Among the music videos he has directed are "Billie Jean" by Michael Jackson, "Summer of '69" and "Run to You" by Bryan Adams, "Money for Nothing" by Dire Straits, "Electric Avenue" and "I Don't Wanna Dance" by Eddy Grant, "Going Underground" by The Jam, "Don't You Want Me" by The Human League, "Baby Jane" by Rod Stewart, "Pale Shelter" by Tears for Fears, "Africa" by Toto, and "Take On Me" by A-ha.

Barron also directed several films, including Teenage Mutant Ninja Turtles (1990), Coneheads (1993), and The Adventures of Pinocchio (1996).

These videos, which include "Billie Jean" by Michael Jackson,"Burning Up" by Madonna ,"Money for Nothing" by Dire Straits, and "Take On Me" by A-ha, would come to define the medium during the early days of MTV and are still considered among the best of all time.

Barron directed several award-winning miniseries, such as Merlin (1998), Arabian Nights (2000) and Dreamkeeper (2003) for Hallmark Entertainment.

In late 2011, Barron's two-part production of Treasure Island was shown on British television channel Sky One.