I totally love the format that Mr JNLONG provided:
a straight play
a big/spashy crowd pleasing musical
a different type of musical
an off b'way show
As for allowing the teacher to make the decisions that may be less educated decisions than the kids make. GADS of drama teachers are absolutely CLUELESS about what is currently playing in NY. Their extent is often whatever they see ON thier annual trip. I take my HS drama club every year for a weekend. While I "guide" their decisions, it is their choice. It's their money...and a lot of it. They spend nearly 600 bucks for their weekend. Group tickets are not truly available for some of the blockbuster shows, not at any discount anyway. Wicked, Billy Elliot and WSS are going to be almost impossible to get group rates on and even then they will be crappy seats.
My kids decisions this past year were:
August: Osage County (which they overwhelming adored)
WestSide Story (in previews, which they were incredibly disappointed in.)
Altar Boys (which they had a great time.)
Very diverse.
To the OP: are you working with a travel agent/tour guide? If so, he/she should be able to provide you with a list of likely shows.
If we're not having fun, then why are we doing it?
These are DISCUSSION boards, not mutual admiration boards. Discussion only occurs when we are willing to hear what others are thinking, regardless of whether it is alignment to our own thoughts.