There was a thread about this a while ago.
I can definitely see her as Mame, for example, I can see her bringing so much to "If He Walked Into My Life" (she's not all cynicism, she does a beautiful job with "Something Good" in her concert), but I'm not sure that I could ever imagine her as Anna. If Elaine Stritch were my instructor, I'd be too terrified to ever join her in song and dance.
I wonder what she was like, her "Shall I Tell You What I Think of You?" must have been a true showstopper though.
"Some people can thrive and bloom living life in a living room, that's perfect for some people of one hundred and five. But I at least gotta try, when I think of all the sights that I gotta see, all the places I gotta play, all the things that I gotta be at"