He performed the role of "Joe" at the New York City Opera in The Most Happy Fella in 1991. He appeared in the musical 1776 at the Williamstown Theatre Festival in June to July 1991, and in the Off-Broadway Public Theater production of The Way of the World in May 1991.
Moses first appeared on Broadway as a replacement in the role of Sky Masterson in the 1992 revival of Guys and Dolls. He originated the role of Gaston in Disney's Beauty and the Beast in 1994 on Broadway, as well as in the Los Angeles and London West End productions. He succeeded Brian Stokes Mitchell in the roles of Fred Graham/Petruchio in the Broadway revival of Kiss Me, Kate in January 2001. He played Herakles in the 2004 production of Sondheim's The Frogs. He appeared as Adam in Seven Brides for Seven Brothers at Goodspeed Opera House in 2005.
Moses played El Gallo in the 2006 off-Broadway revival of the musical The Fantasticks. In 2008 Moses played the role of Captain von Trapp in Mirvish Productions' The Sound of Music at the Princess of Wales Theatre in Toronto alongside the winner of the TV show How Do You Solve a Problem Like Maria?, Elicia MacKenzie. In 2012, he starred in The Music Man (Harold Hill) with Kate Baldwin (Marian), at Arena Stage in Washington, DC. He appeared as "The Grinch" in Dr. Seuss' How the Grinch Stole Christmas! at the Old Globe Theatre, San Diego, in November 2014. In 2015, he starred in the Vineyard Theatre's Off-Broadway production of Gigantic, which premiered on December 3, 2015.
He has also appeared in soap operas Loving, As the World Turns, and One Life to Live as well as guest-starred on various television series, including The Nanny. He appeared in the NBC pilot for the sitcom Good Morning, Miami in 2002.
- Born in 1959, per Intelius[permanent dead link]; he is 49 years old as of July 19, 2009
- "Burke Moses Biography" Archived March 15, 2016, at the Wayback Machine. tcm.com, accessed March 14, 2016
- The Most Happy Fella Archived March 15, 2016, at the Wayback Machine. ovrtur.com, accessed March 14, 2016
- 1776[permanent dead link] abouttheartists.com, accessed March 15, 2016
- Gussow, Mel. "Theater Review. Restoration Comedy With the Modernist Touch"[permanent dead link] The New York Times, May 22, 1991
- Jones, Kenneth. "Burke Moses Is Petruchio and Fred in Broadway 'Kiss Me, Kate' Jan. 30" Archived March 15, 2016, at the Wayback Machine. Playbill, January 30, 2001
- The Frogs Archived July 23, 2016, at the Wayback Machine. playbill.com (vault), accessed March 14, 2016
- Jones, Kenneth. "Moses and Piro Pave the Way for Brothers to Get Brides in Goodspeed Season Opener" Archived March 15, 2016, at the Wayback Machine. Playbill, March 10, 2005
- Nondorf, Tom. "The Leading Men: Kudisch and Moses"[permanent dead link] Playbill, January 4, 2007
- Purcell, Carey. "Burke Moses Is The Grinch, Starting Tonight" Archived May 27, 2016, at the Wayback Machine. Playbill, November 15, 2014
- Marilyn Stasio (December 7, 2015). "Off Broadway Review: 'Gigantic'". Variety. Retrieved September 18, 2016.
- Kissell, Howard. "Put This Porter Show Back in Cole Storage"[permanent dead link] New York Daily News, February 17, 1996
- Simonson, Robert. "Noll, Abraham, Ward and Moses Shine Under Encores! 'New Moon', March 27-30"[permanent dead link] Playbill, March 27, 2003
- Haun, Harry. "Moses, Ripley and DeLaria in 'Encores!' 'Li'l Abner' Mar. 26-30[permanent dead link] Playbill, March 26, 1998
- Gans, Andrew. "Broadway's Burke Moses Lands TV Pilot" Archived March 15, 2016, at the Wayback Machine. Playbill, April 1, 2002