"I Am My Own Best Friend" from Chicago. Not in the movie and absolutely phenomenal! I believe there's a YouTube video of Liza doing it solo. I second "There's Always a Woman" from ACW.
The score to "Mack and Mabel" is so delightful. It's a pity the book is so bad. Any idea if Herman or Stewart's estate would allow someone to work on it. I would love to see Annaleigh Ashford as Mabel.
I just discovered 2002's "Bernadette Peters Loves Rodgers and Hammerstein". Her "There Is Nothing Like a Dame" is a particularly good arrangement.
Other than TV's "Cinderella", in which she was fantastic, I can't find any record of her performing in a Rodgers and Hammerstein musical. She's done Berlin, Sondheim, and now Herman, but no R&H. I can't find a history of her off-Broadway, tour or regional work (if th
"Damn Yankees" and "How to Succeed" have great, largely male casts. If you're flying scenery, both work. You could totally fly Finch in the opening of "H2S", as he appears as a window washer in the beginning.