Do you know about High 5. It's an organization for teens (and I believe pre-teens (11-19) that offers both free and $5 tickets for many off Broadway and even some Broadway shows.
You must have a teen with you. They ask to see their school ids. In August they had a slew of dates for War Horse. I snagged two and went with my 19 year old son. Great house seat in center orch on the aisle.
For every adult who goes one teen has to be present but you can take as many teens in with one adult also.
They have Blue Man up often. This might be good for your older kids.