We don't have synonyms for broadways yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are roadway, Broadway and roadways.
(n) :
a street name found in a number of cities, but particularly in the Borough of Manhattan, in New York City, cutting a lazy diagonal through the otherwise rigid grid; the theater district of Manhattan; specifically, those theaters (most of which are actually not fronting on Broadway) covered by contracts between the theater owners and the theatrical unions
(adj) :
of or pertaining to Broadway theaters, to the shows performed there, or to persons associated with them, as with "Broadway star" or "Broadway producer"
(n) :
a street name found in a number of cities, but particularly in the Borough of Manhattan, in New York City, cutting a lazy diagonal through the otherwise rigid grid; the theater district of Manhattan; specifically, those theaters (most of which are actually not fronting on Broadway) covered by contracts between the theater owners and the theatrical unions
(adj) :
of or pertaining to Broadway theaters, to the shows performed there, or to persons associated with them, as with "Broadway star" or "Broadway producer"