If you’re staying in Brooklyn, it’s worth checking out some Brooklyn food. Middle eastern of various origins, Eastern European, Brooklyn Chinatown, and various pizza options come to mind. There’s also Lilia and Misi among other trip-worthy destinations.
Other things you’ve mentioned, in no particular order:
Instead of EMP I’d eat at the bar at Le Bernardin, Jean Georges, or Gramercy Tavern.
Steak - Luger is Luger. The maitre’d opened Wolfgang’s, but they don’t even come close. You can get a great steak at better french and italian restaurants. Or Korean (see Cote).
For cheung fun, pick up at the counter at Deluxe, or sit down at Dim Sum Go Go or King’s (the other places that get written up are a different variety - lots of noodle, very little filling, flavored mostly by the sauce you add, and therefore cheap). There are better versions of many Chinese dishes outside Chinatown. XLB - Real Kung Fu or Pinch. Other food - Cafe China, China Blue, Hao noodle, plus Pinch. You could go even higher end at Hakkasan, DaDong, and RedFarm. Mission Chinese is interesting, but harder to eat at alone imo.
We have excellent Korean - Atoboy, Hanjan, and Her Name is Han are not your standard bbq joint, and Cote might actually be perfect for a solo eater given their set menu.
If you’re seeing any theatre, it’s a good time to get some great Thai food on 9th ave. I favor Pam, but there are many good options. Or the yakitori places are nearby (ToriShin is high end, Yakitori Totto a notch down, Sake Bar Hagi and Donburiya below that), but I’d eat Thai first.
If you’re near Columbus circle, Bang Bar is a tasty fast casual option (you can balance the cost by getting a drink at The Aviary/The Office). Elsewhere, check out Kati Roll Company, which BB reminds me of.
Once you have a better sense of what you’re doing and where you’ll be, you can elicit more location-specific suggestions.