If I had one (I'm not an actress, but I know what I'd do!) here's what I'd use (giving different options-Shakespeare, etc.)
Music:
Wishing You Were Somehow Here Again from "Phantom of the Opera"
something Rogers and Hammerstein-maybe "Edelweiss" from "The Sound of Music" or "Climb Every Mountain"
Monologues: I'd have a Shakespeare and a modern: Shakespeare: My favorite monologue was written for a man, but I love it so much-It's Aaron's opening speech from "Titus Andronicus" ("Now climbeth Tamora Olympus' top...") If I wanted to do a female one, I'd do one of Tamora's speeches.
Classic: Rose's speech from "Fences"-my favorite! ("You can't be nobody but who you are, Cory, that shadow wasn't nothing but you growing into yourself...")
"A birdcage I plan to hang. I'll get to that someday. A birdcage for a bird who flew away...Around the world."
"Life is a cabaret old chum, only a cabaret old chum, and I love a cabaret!"-RIP Natasha Richardson-I was honored to have witnessed her performance as Sally Bowles.