He has an older sister, actress Kylie Bunbury, and two younger brothers, Logan and Mataeo, the latter of whom is also a professional soccer player.

At the end of the season he was named as the winner of the 2009 Hermann Trophy Award, honoring the best player in college soccer.

After two years with the Zips, Bunbury decided to forgo the remainder of his collegiate career and signed with Generation adidas.

In December 2010, Bunbury joined English Premier League side Stoke City on trial and scored in a reserve match against Wigan Athletic.

[13] In February 2014, Bunbury was traded to the New England Revolution for a first round 2015 MLS SuperDraft pick and allocation money.

[15] New England fell to LA Galaxy 2–1 final after extra time, with Bunbury's potential game-winning shot bouncing off the crossbar in the 85th minute.

Bunbury helped lead the Revs to the 2016 U.S. Open Cup Final, scoring twice against the New York Cosmos in the Round of 16 and adding the third goal in a 3–1 victory over the Chicago Fire in the semifinals.

[20] Bunbury earned his first cap for the United States on November 17, 2010, coming on as a substitute at halftime in the Nelson Mandela Challenge Cup.