Oh, sure, if you've never had a knish, Yonah Schimmel is the place to try. Russ & Daughters is a fun place that is particularly known for fish-things (e.g. smoked salmon), but all kind of other things, too, like candy. I sometimes buy glaceed apricots there. (Coincidentally, I'm re-reading the fun novel "Tepper's Not Going Out" which features Russ & Daughters.) They also have a cafe, but I haven't eaten there.
I previously mentioned that NYC has tons of "Best" lists, and that includes lists of best bagels. I basically haven't been dining out since covid, so I'm not sure I can be any help about favorites, but I'll give it some thought. I'm big on Chinatown, but my adored dumpling place was overrun by tourists posting on Yelp, and in the restaurant's struggle to keep up, they cut some corners, were caught by some contemptible Yelper, and closed down.
If you added up all the restaurants in NYC, I'm sure that the overwhelming majority would be "foreign" food, but the one type you might be curious about, which I don't see on your list, would be southern food. Or, now that I think about it, barbecue.
Since you mentioned the Met, I will in turn mention two things in particular. I really love the Temple of Dendur - and I suppose everyone does, and it's always crowded. But there is one wonderful niche in the Met which everyone has forgotten about. It's called the Lehman Wing. It's amazing, and it's always empty.
And I hope you don't mind my saying, I've never figured out why people want to go to parks in NYC. If you're just some tiny American farm town, okay. But there are such wonderful parks and gardens in Europe, it doesn't seem worth it in NYC.