Went out to investigate it again on my coffee break. The first time I saw it it looked like each level had a flat tray with a little lip on the edge, but on closer inspection the levels are actually thin, deep slots, more suited to holding magazines or something I guess. Took some better pictures this time:

Photoshopped in C-3PO and the red lines to get an idea of the scale.

You can see that the clear actrlic panes would be in front of whatever you put in there. Behind them is a huge, one piece plastic "layer cake" with shelves about an inch thick. If it was just the white plastic layer cake with the acrylic panes removed, it might still make a good display, but since the shelves only come out an inch or so, not much breathing room. And it's all one piece so it's big and kinda heavy. Guess I was looking at it with rose colored glasses the first time.
Where in NYC is this? I might have to see this myself.
It's in Park Slope, Brooklyn. 4th Avenue and 16th St. It was there as of an hour ago. Somebody took the flat shelves that were on the ground in my first pic, though.