- Baitz was the longtime romantic partner of director ("Wicked") and actor ("Angels in America") Joe Mantello. They were together from 1990 to 2002.
- Finalist for the 1996 Pulitzer Prize for Drama for the play "A Fair Country" and finalist for the 2012 play Other Desert Cities.
- His play, "The Substance of Fire" at the Mark Taper Forum Theatre in Los Angeles, California was awarded the 1993 Drama Logue for Outstanding Production.
- He was awarded the 1986 Drama Logue Award for Outstanding Direction and Adaptation for "In Dreams Begin Responsibilities," in a Sundays at the Itchey Foot production at the Mark Taper Forum Theatre in Los Angeles, California.
- He was awarded the 2005 Los Angeles Drama Critics Circle Ted Schmitt Award for outstanding new play, "The Paris Letter, "at the Kirk Douglas Theatre in Los Angeles, California.
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