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Liu's first job was in comic books, penciling for Image Comics. In 1996, he moved to animation, directing Roughnecks: Starship Troopers Chronicles and Godzilla: The Series for Sony Animation. He later went to Sony Computer Entertainment of America to design characters for PlayStation, then came back to animation, winning a Daytime Emmy Award for his work on The Batman series in 2006. He was a sequence director for The Batman vs Dracula.
He has since worked on many animated films for Marvel Entertainment and Warner Bros. Animation, including All-Star Superman, Superman/Batman: Public Enemies, Hulk Vs, Planet Hulk, Thor: Son of Asgard, and co-directing with Lauren Montgomery on Justice League: Crisis on Two Earths and Batman:Year One. Liu was also the primary character designer for Superman/Batman: Apocalypse. In 2010, Liu moved back to television, directing Green Lantern: The Animated Series with Bruce Timm, and Beware the Batman with Glen Murakami.