Berman produced Nate Parker's The Birth of a Nation (2016) about the true story of Nat Turner's slave rebellion. The film premiered in the U.S. Dramatic Competition at the 2016 Sundance Film Festival. Jason is also in post-production on Mark Elijah Rosenberg's AD Inexplorata starring Mark Strong. Berman also produced Jonas Carpignano's Mediterannea, Andrew Renzi's Franny, and Sara Colangelo's Little Accidents.

Berman's other producing credits include The Dry Land, Seven Days in Utopia, The Brooklyn Brothers Beat the Best, LUV, Struck by Lightning, Kilimanjaro, and X/Y. In 2022 it was announced he was producing a film about the 1956 Sugar Bowl and Atlanta Riots along with Anthony Mackie.