[6] In the mid-1990s, he was a working child actor; professional roles included an ensemble member in Evita at the Paper Mill Playhouse (1996) and a swing in A Christmas Carol at Madison Square Garden.

[7][8] Of Uranowitz's contribution as part of the ensemble cast, The New York Times wrote he "was a testament to youthful enthusiasm and lung power".

[19][20][21] In their review of the musical, Variety noted that the "show is continually perked up by... ...Brandon Uranowitz (as a long-suffering press guy and Goldberg's blind son).

[22] During this time, Uranowitz has had minor appearances in the television series Law & Order: Criminal Intent, As the World Turns, and Inside Amy Schumer.

[23] Uranowitz joined the first revival of 1992 musical Falsettos, which opened on Broadway at the Walter Kerr Theatre on October 27, 2016, as a limited engagement.

He was called "warmly funny and convincingly neurotic" as Mendel by The New York Times,[24] "wholly endearing" by Entertainment Weekly,[25] and The Hollywood Reporter said "Uranowitz is a worthy successor to the wonderful Chip Zien in the original production.

He flirts with the stereotypical view of a Jewish therapist only marginally less messed-up than his patients, while also finding the truth in a compassionate man who has to convince himself of his right to be happy".

In fall 2019, it was announced that he would star in a limited-run off-Broadway production of Stephen Sondheim's Assassins at the Classic Stage Company in spring 2020.

In 2020, he took part in the amfAR COVID-19 relief benefit The Great Work Begins, a live streamed event featuring scenes from Angels in America.

Some of his screen acting credits during this time include a three episode arc in 2018 on The Marvelous Mrs. Maisel as Buzz Goldberg, a Catskills activities director, and the 2021 Billy Crystal feature film Here Today.