Kudisch's Broadway credits include Chitty Chitty Bang Bang (Baron Bomburst), Assassins (The Proprietor), Thoroughly Modern Millie (Trevor Graydon), Bells Are Ringing (Jeff Moss), Michael John LaChiusa's The Wild Party at the Public Theater (Jackie), The Scarlet Pimpernel (Chauvelin), High Society (George Kittredge), Disney's Beauty and the Beast (Gaston), and Andrew Lloyd Webber's Joseph and the Amazing Technicolor Dreamcoat (Reuben). He has been nominated for the Tony Award for Best Featured Actor in a Musical for his roles in 9 to 5 (2009), Chitty Chitty Bang Bang (2005) and Thoroughly Modern Millie (2002), as well as the Outer Critics Circle Award, and the Drama Desk Award.