I have to agree with FloweryFriend. I play auditions all the time, and these are the basic rules to follow when audition.
Composers to stay away from because of difficulty of accompaniment:
Sondheim, LaChiusa, Brown, Lippa, Gordon, Bernstein (Although many other accompanists I know know Bernstein's music and have played it before... so his music would be more acceptable than the others)
Chances are, most accompanists will not be able to sight read these pieces well, which will make you uncomfortable and not sing your best.
Look into songs by Cole Porter, Irving Berlin, George Gershwin, Sammy Cahn, Rupert Holmes, Cy Coleman, older Stephen Schwartz, Johnny Mercer, Richard Adler/Jerry Ross, Frank Loesser, Jerome Kern, Richard Rodgers, David Shire/Richard Maltby, William Finn, Jerry Herman, , Harold Arlen, Charles Strouse, Jule Styne, Stephen Flaherty (pre-Ragtime)
From the evil she done Lord
Set her free, Set her free, Set me free
Don't let my sorrow
Make evil of me