Stroman has been a part of the Broadway for a long time, making her Broadway debut as a dancer in 1979 for the musical Whoopee! in 1992, she choreographed the musical Crazy For You, for which she one the Tony Award for Best Choreography. She made her debut as a director with the 2000 revival of The Music Man. She became the 2nd woman to win the Tony Award for Best Direction of a Musical in 2001 for The Producers.
Crazy For You, Show Boat (1995 revival), Big the Musical, Steel Pier, Oklahoma! (2002 revival), Contact, The Music Man (2000 revival), The Producers, Young Frankenstein, The Scottsboro Boys, Bullets Over Broadway, Prince of Broadway