That's nice, although she's making questionable choices. Why give Make It Happen and Hero shine? They were singles!
I would have gone for:
Mariah Carey - Prisoner, but yes, Vanishing is more appropriate for a Songwriters Hall of Fame moment
Emotions - Til The End of Time or The Wind
Music Box - Everything Fades Away (or All I've Ever Wanted)
Daydream - Looking In, Melt Away or Underneath The Stars
Butterfly - The Roof, Breakdown or Babydoll
Rainbow - Petals
Glitter - Never Too Far
Charmbracelet - Sunflowers for Alfred Roy
The Emancipation of Mimi - I Wish You Knew or Fly Like a Bird
E=MC - Migrate, Side Effects or I Wish You Well
Memoirs of an Imperfect Angel - Betcha Gon' Know (The Prologue)
Me. I Am Mariah... The Elusive Chanteuse - Meteorite, You Don't Know What To Do, Camouflage
Caution - Giving Me Life, Portrait