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Oh, I can think of some great songs that would be perfect for Katharine! I agree with "All That Jazz" and "Come Rain Or Come Shine". Also, "Until You Come Back To Me', of course. How about "Fever" (that's a natural!), "Blues In the Night", and "Cry Me A River"? Those are certainly standards. More contemporary choices might include Katie Melua's "Closest Thing To Crazy" and Melissa Errico's "As Long As I Have You". (I'd say that they are the two current artists with styles most similar to Katharine's.)
And I agree that I'd like to hear Katharine write some of her own material, too!
Katharine McPhee fans around the world