Sucsy segued from studying international relations to film production via the advertising industry, where he worked for the award-winning agency Cliff Freeman & Partners on the first-ever Staples t.v. ads. Sucsy then pursued work as a production assistant, an art department coordinator, a production secretary, and an assistant Director on feature films, commercials, and music videos in Washington DC, New York City, and Los Angeles. He later went on to earn a Masters of Fine Arts in film from Art Center College of Design in Los Angeles. Sucsy then began directing commercials and was soon dubbed by Shoot! Magazine "as one of the industry's crop of new Directors to watch." He was subsequently nominated for the Young Director of the Year Award given in conjunction with the 2002 Cannes Lions International Advertising Festival. He currently directs commercials through Independent Media and is represented for film and television by UTA, Anonymous Content, and 42 West.

In 2003, Sucsy was inspired to write and direct a narrative feature film about the famous true story of Jackie O's eccentric relatives "Big Edie" Bouvier Beale and "Little Edie" Bouvier Beale called Grey Gardens after viewing the well-known documentary of the same name. The day after he first watched the documentary, Sucsy embarked on what was to become a six-year process to get Grey Gardens made. He used primary sources including Little Edie's personal correspondence, private journals, and poetry as well as interviews with family members and friends as the basis of his original script which traced the Beales' tragic descent from riches to rags over some forty years. With Drew Barrymore and Jessica Lange attached to star as the reclusive mother-daughter duo, the project made its way to HBO who, in 2006, announced that Grey Gardens was moving into production with Sucsy as its Director. Principal photography on Grey Gardens began in October 2007, and it debuted on HBO in April 2009 to great acclaim from critics and audiences, both new and old to the Grey Gardens phenomenon.

Sucsy became engaged to his boyfriend, interior designer Demitri Sgourakis, on February 14, 2012, Sucsy's 39th birthday. They were married on August 15, 2015, aboard the Midnight Rambler, a sailboat, off the coast of Montauk, N.Y.

On February 22, 2013, DreamWorks announced it was planning a movie about a cappella group Straight No Chaser with Sucsy at the helm. The true story is about the male Singers who got a second chance at success thanks to YouTube.

In June 2017, it was announced that Sucsy would follow up The Vow with the film adaptation of the novel Every Day.