In 1983, in his second year of junior high school, he moved to the United States. He attended Cambridge High School and Northfield Mount Hermon School in Massachusetts and then the School of Constructed Environments at Parsons The New School for Design. At first, as a student, he aimed to enter the Business world, but through the experience of seeing others' pleasure when he communicated through drawing at times when his English failed him, he came to be more oriented toward the world of art. Beginning in 1994, he became involved in designing album covers, photography, and directing music videos for many recording artists including Hikaru Utada, SMAP, The Back Horn, Mr. Children, Misia, Southern All Stars, GLAY, and Ayumi Hamasaki.

Kiriya is a vegetarian. He was wed to Japanese pop Artist Hikaru Utada from September 6, 2002, until they divorced on March 2, 2007.

Kiriya made his feature film debut in 2004, writing and directing the ambitious live action film adaptation of Casshern. The film was among the first to be shot on a digital backlot. In 2009, he wrote and directed his second film, Goemon (a fantasy epic based on the life of Ishikawa Goemon), in which he also appeared in a cameo as Akechi Mitsuhide. In 2015, Kiriya directed his first English-language film, Last Knights, a reimagining of the legend of the forty-seven ronin.