What do your kids like to do?
I hate watching baseball on TV, but absolutely adore live baseball, though I've only been to the Yankees' new stadium (I went twice to see the Mets at Shea in the 1980s, but haven't been to Citi Field.)
I'm a museums person - love-love-love the Met, but also recommend the Guggenheim (take the elevator to the top and work your way down), Paley Center (formerly the Museum of Television & Radio), AMNH, and the NY Historical Society.
I went to Ellis Island (ferry from Liberty State Park in NJ) in high school, but should actually go again - I have a couple of ancestors who were processed through Ellis Island & DD has taken an interest in family history.
I don't hang out downtown (Financial District, etc.) but really think South Street Seaport and its surrounds is a cool area. Haven't been in about 15 years, though, so I don't know how much has changed.
As for shows ... there are some amazing shows running on Broadway, but keep an eye on shows like Hadestown and Ain't Too Proud to Beg, as they were heavily Tony-nominated (Tony nominations were announced today, 30 April 2019) and may pose difficulties in getting tickets. Teens I know seem to want to see Dear Evan Hansen, Hamilton (check the app for lottery tickets; it's all digital now), Waitress, and Be More Chill, with a few interested in The Prom.
I'd also like to put in a good word for Come From Away, the cast recording of which I cannot get through without sobbing because of how it connects emotionally to how it felt to be in the NYC area (in my opinion) circa 9/11/2001 even though it's physically set in Canada.
Beyond that, you've got your standards - Phantom of the Opera (which is a neat show to see), Wicked, etc. - and straight plays. If I had unlimited funds and time, I'd see the Harry Potter Play (it's 2 parts, BTW, and you pay separately for each part), Network (limited run is closing in June), and maybe Gary, but I'd have to read a bit more about them to be sure.
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Liz
DD (3/2010)
"Make mistakes! Get messy!" - Miss Frizzle