The map is spot on.
Our restaurant list tends to be focused on places that serve our wine (fairly spendy, like EMP); so I'll put a plug in for
Ippudo East Village - my daughter used to serve there. World-class amazing Ramen. For an insider-view of good restaurants, consider
Eater NY.
I really like seeing a few shows. The crowd energy, emotions, caliber of performance - is untouchable. I don't mean things like the Lion King, but American Idiot, If/Then, Book of Mormon (none in production, but to give you context). You can try for rush/lottery tickets, but when you are on a vacation best bet is TKTS.
Walking Times Square at night
The High Line
Central Park
Great city to visit.
Have a great trip!