The only thing I have to say about "New York" so far is that a section of the bass part has the same rhythm as some other Zombie bass parts. In "New York," it's:
I should note that I guessed on the key and that the first dotted half note in each measure might need a staccato mark.
I've found this same rhythm (two dotted half notes followed by two eighth notes) in the bass parts in "I Can't Make up My Mind," "Tell Her No," "Whenever You're Ready," "She Does Everything for Me," and "Time of the Season." Since "New York" is Rod Argent's looking back at where the Zombies' career started, I'm wondering if this is an intentional nod to this rhythm's presence in those original Zombie songs. It seems relevant to note that of the five tracks with this feature listed above, four were written by Argent ("I Can't Make up My Mind" is a Chris White song).