Another great view to see NY from above, apart from Empire State building, that worth a go, is the Rockfeller center (Nice for shopping, of all the kind, [Also a Lego store that i love]) and at evening seeing the sunset from there is great.

this is a shot i took in 2014 when i was there.
And a visit to Radio city music hall, a piece of show business there, both places are near, and can be combined.
Another particular palace is the Flatiron building.
7 days is not a big period, so is not simple to see how much NY have to offer, i was there for 14 days, and if i had more, other interesting things could be viewed.
But good holidays...