You're going to have to be more specific for me to help :)
Beer snob? Hit Proletariat in the East Village, or go out to Brooklyn and hit Spuyten Duyvil, or Brooklyn Brewery if it's a weekend. Like Belgian beer? You'll want to have beer and fries at Vol de Nuit.
Fine booze hound? The Brandy Library in TriBeCa. There is no substitute. Make a reservation and dress nicely. Your wallet will not be amused, but your taste buds will. If you're open-minded, you can learn a lot from these guys.
Jazz and cocktails? Silver Lining.
Wine? I'm partial to Cucina E Vino Petrarca, mostly because it's in my 'hood. There are others.
Cocktails in an elegant and unusual setting? The Campbell Apartment, if you can find it.
I could go on for hours. You've gotta gimme something to work with: booze preferences, cuisines you enjoy but don't get much at home, cuisines you do get at home, something. Music preferences? Art?
Otherwise: The Highline is touristy, but with good reason. Ramble around Central Park, especially the wilder, upper reaches. See the main attractions, then go north and east until it gets wild(ish). Fun.
Take the ferry from the Financial District to Redhook/Ikea (is it still running after Sandy? Dunno). Great trip, free on the weekends I think. Line is big, moves pretty quick. There's some good stuff in Red Hook, but I don't know much about it, other than one neat "local artist" gallery that may no longer be there due to Sandy damage...
You can have a Shake Shack burger, but it's not really worth the wait, unless you really need to say you've had one. Lines are better in Battery Park City and behind the Museum of Natural History (mostly). For grass-fed beef burgers and no wait, I prefer BRGR. Lots of options though.
Comedy? Hit Upright Citizens Brigade theater, their weekend shows (Your berkeleyed Up Family esp) are hits. Reserve tickets in advance and line up early to get good seats.
Museums are awesome, you should hit at least one, but make sure you're going to like it. Do not attempt to "see it all" and especially do not try to see the entire Met. You'll be miserable. If you do the Met, choose a wing or topic to see and spend most of your time there. I highly recommend attending one of the free docent tours/lectures, especially if you don't know what you want to see. If you hit MoMA (my personal favorite, and you're reminding me I need to renew my membership), contact me, if I'm around and free and have renewed my membership, I can get you in for $5 a head instead of whatever their going rate is. Allot some time to sit in their courtyard, have a beer, and people watch. It's a beautiful thing.
I'm biased against the Gugg. It's an interesting space, but terrible as a museum. IMHO.
See? Still rambling...