You say you have room for 5 more shows, I'm assuming that means 5 slots. Both Angles in America and Cursed Child are done in two parts, so if you saw both parts of both shows that would eat up 4 out of 5 slots. So it might feel like you're only seeing 3 shows despite sitting through 5 performances. Personally, I like to see as many different shows as possible during my limited time in NYC. One show to keep an eye on that isn't on your list is The Bands Visit.
I have two trips planned in Nov/Jan and here are my line ups: Phantom of the Opera, Anastasia, Hello Dolly, M Butterfly, Hamilton, The Bands Visit, Office Hour, Meteor Shower, When Pigs Fly, The Children, Fairnelli and the King. If I add a third trip in late spring it will be: Angles in America, My Fair Lady, Carousel, and Once on This Island.