The 41 large professional theaters in Manhattan's Theater District, each with 500 or more seats.
"Broadway" is a specific thing: a production in one of the 41 theaters, most of them around Times Square, that have at least 500 seats and operate under particular union agreements. It is not a style. The same show can play Broadway, then tour the country, then be staged by your local community theater a few years later.
Also seen as: on Broadway, Broadway theater, Broadway theaters