I always say this, but you gotta give me something to work with! You can find fun/good/exciting ANYTHING (almost) in NYC. Whatever floats your boat...
If you were staying through Saturday morning, I'd tell you to do traditional dim sum in Chinatown. Royal Seafood, on Mott between Canal and Hester.
If you're in Chinatown, get a foot rub or full massage at Foot Heaven, Pell Street at Doyers. Just do the locals a favor and keep your voices down and remember to tip well - the prices are dirt cheap and I'm willing to believe that the ladies take home the tips only. CASH. (Actually, cash is a good idea ANYWHERE in Chinatown - very few places take plastic)
Buy a couple baked pork buns at Mei Li Wah on Bayard, near Elizabeth St.
Do not buy fake hand bags in Chinatown. My friend found, to her chagrin, that the Coach outlet store offered the same handbag at pretty much the same price.
If you buy anything in Chinatown, other than services, haggle. This can be fun or business-like, your choice. 50% of initial ask is too little, expect ~75%, with your distance from that demonstrating your skill.
That's Chinatown in a few lines. It's worth visiting.
If you like fine booze, you must make reservations (easy to get) at The Brandy Library in Tribeca, and stop in for a drink or two. Their "Spirit Sommeliers" really, REALLY know their E36 M3. The best I can recommend you do is ask their opinion. Tell them what you like to drink, explain why you like it, and ask what they'd suggest to broaden your horizon. Or do one of their tasting flights. If you're only getting your feet wet, try their "Library Spirits" flight, it's a great intro to a variety of liquors. The staff are some of my favorite people in NYC. Dress nicely, behave, and tip well.
The Ghostbusters firehouse is cater-corner to the Brandy Library. Note it.
I could personally take or leave Shake Shack, but it is an experience, at least the one in Madison Square Park. The other locations are if you just want Shake Shack food without the line. There are better fast-ish burgers in NYC.
Take the Ikea ferry from downtown to Ikea in Redhook. It's a nice, off-beat water tour, and last I rode it it was free. Redhook is supposed to be up-and-coming, supposed to have some fun stuff in it. There -was- a great local-art gallery space over near the Fairway that's within walking distance of Ikea, but Sandy did a number on that area and wiped out a lot of the gallery and its contents. Hopefully it's back, but I don't know.
I prefer MoMA to the Met(ropolitan Museum of Art), but choose whatever museum you prefer. I always like to look at the free docent tour schedule and take one of those. Learn about something that interests you, see the highlights of that particular topic, without overloading yourself. Do not expect to "see" the Met in its entirety in one visit, unless you want to be really, really miserable and rushed. The Astor Court Garden in the Met is one of my favorite places to just sit and chill. It's probably a bit cold now, but the courtyard at MoMA was always a wonderful treat. Beautiful art, sunshine, people watching, beer.
Get lost in Central Park. This should involve going "uptown" a bit, to the places where the paths get narrow and winding, there are lots of trees and hills and stuff.
If you like Jazz, there are great places to see it, but the really odd, modern stuff is at The Jazz Gallery on Hudson. Incredibly weird and uninviting venue, but... interesting.
If you want to do cocktails and Jazz... dammit, I just found my favorite place for that closed. You're out of luck.
Belgian beer and pommes frites? Vol de Nuit on West 4th. It'll be crowded and NYU'y, but persist.
Restaurants? You really have to give me some hints here, or I'll just tell you that if you eat anyplace you could eat at home, I will personally find you and shove my oldest, nastiest gym shoes so far up your...
Oh! It's touristy but fun, even for the locals. Hit the rink at Bryant Park at night. You may be berkeleyed because it's a holiday, but ... one (or did I do that twice?) of my favorite dates started there...
Ah, yes. You can do the Empire State Building observation deck, but I personally prefer to go to the "Top of the Rock", which lets you enjoy the view OF the ESB, and the rest of NYC. Great park views too. I loved it at night (another great date activity...), but you may have to sort of know the layout of the city to appreciate it then. Otherwise it's just pretty lights.
What else...
Generally, walk as much as you can, take the subway when it's too far to walk, take a cab when you can't walk. No offense to Wally's busses, but most New Yorkers can outpace a crosstown bus in moderate or worse traffic. Unless you're over on 1st Ave or East End Ave, there's no reason to take an uptown/downtown bus. Take the subway instead.
shiny happy person New Yorker comments:
Do NOT walk three abreast down the sidewalk, at any time.
Do NOT deploy a golf umbrella for any reason.
Do NOT stop suddenly in the middle of the sidewalk for any reason. Move to one edge or the other, then stop. Anyone who bumps into you or knocks you over for stopping in the middle of the sidewalk was completely justified in doing so. It's our equivalent of parking yourself in the left lane doing 45 with your left turn signal on.
When you get on the subway, do NOT stop in the doorway. Move in. And for the love of god, hold on at all times and expect that the car is going to lurch unexpectedly at any moment. You're a tourist, not a local, you can't hack the "look ma, no hands" thing. If the car is crowded for any reason, start moving your way towards the doors BEFORE you arrive at your station.
Do NOT stop at the top of the subway stairs. New Yorkers sometimes have trouble with this too. If you don't know where you are, move away from the stairs and then figure it out. There are dozens of people behind you who thank you.
New Yorkers are actually friendly people. But remember that we still have jobs to get to, bad days, etc etc. Do not stop someone who appears to be rushing somewhere. (learn to recognize rushing vs just walking). Do not step in front of anyone to stop them. Ask politely. Most of the time we'll help you out if you're lost, especially if you ask nicely and don't interrupt (note, catching someone while they're waiting for something, e.g. to cross a street, the subway, etc, is a good bet). Don't ask "is there anywhere good to eat around here". There are too many places. Ask "I'm looking for good X, know of any nearby?"
That's just a taste of Manhattan. Give us some ideas of specific things you like, etc and I/we can help you better.
God, I really miss that city.. (5 months since I moved away )