Combine "audiophile to do's" with some live music.
-Buy a copy (if you dont have it already) of Bill Evan's "Waltz For Debby". Fantastic set recorded at the Village Vanguard. Then, when in NYC go hear some music at the VV and be amazed at how well that record captures the sound of that venue. It will be obvious no matter who the live act is.
-Go hear some music at Carnegie Hall and at the Met to experience really good (CH) and great (Met) live sound.
-Then, to hear what somebody's misguided idea of what a modern hall should sound like go to Avery Fisher Hall. Just kidding, skip this one.
-If you want to hear a superlative modern hall go across the river to Newark NJ and hear some music at NJPAC.
Have fun!