+1 on the Hayden Planetarium.
It was recently ( years recently, not months, lol ) redone, supposed to be severely cool, I haven't been there since the redo though..
+1 on the cost of tickets to a musical like "Hamilton", I tried to get tickets to see "Jersey Boys" and nearly fell off my chair..
I saw the "Book of Mormon" last year,, you're going to absolutely love it..
+1 on doing the Intrepid..
I don't know about the winter months, but the aircraft on the flight deck,
the walk through of a WWII submarine ( unbelievably tight quarters ),,
an SR71 and now ( I haven't been there since this ) a space shuttle is on the barge in the next slip..
All in all a super cool time seeing all..
Teddy