Does Times Square still have the Heartland brewery? Those are the most easily-accessible 'microbreweries,' you can find one near all the major touristy areas, South Street seaport, Times Square, Union Square... At least you used to.
It's a fun environment.
Yeah, all those Heartlands are still there, plus they've opened a few more. I think there are 3 in and around Times Square now. Good beer and they support homebrewers by having a contest at their Empire State Bldg. location every year. Good suggestion!