Minchin, a Tony Award nominee and Olivier Award winner for penning the score to Matilda the Musical, and Schmitz (Travesties) star in the titular roles. Rosencrantz and Guildenstern Are Dead will run through Sept. 14.
The cast also features Paul Cutlan, John Gaden, George Kemp, Angus King, Ewen Leslie, Heather Mitchell, Nicholas Papademetriou, Berynn Schwerdt, Christopher Stollery, Aaron Tsindos, Adele Querol and Tim Walter.
Here's how it's billed: "In Tom Stoppard's evergreen comic masterpiece, the hapless pair's last days are chronicled; days largely spent trying to make sense of their interactions with other characters as the epic Hamlet unspools just off stage. In the hands of director Simon Phillips, the wit and playfulness of Stoppard's writing will be front and centre."