Into the Woods? Surely they'd have the cast members sing that, though?
In the Heights isn't known outside of the theatre community.
The Oscars would keel over before they paid tribute to
Legally Blonde 
(even though the musical and movie both slay lives).
Little Shop of Horrors is a cult musical and movie. That wouldn't make sense.
If it's
Love Never Dies, I will quit stanning.
Into the Woods or
The Sound of Music are the only two that make sense.