Live up to the title, if you please
The title is 紐約 Stories, so you would have certain expectations. It turns out, of the three sections, only Scorsese delivered something both 紐約-ish and interesting. Coppola 紐約-ish but plain boring. Allen interesting with nothing to do with 紐約. He only name-checked his home city. In his section he made it all about himself as he often does.
The music Allen used in this film he used it again in Magic in the Moonlight which is also a story about magic and psychic.