I think the most-often used generic word would be []{} and that is used **_many_** times as often as in the media.
Technically speaking, may be used only to refer to the Beijing version of the art, but if you used the term, Japanese-speakers would at least know that you were referring to the "traditional" Chinese theater.
I do know for sure that []{} would not be the word you are looking for. It just means a drama or play regardless of its nationality. To Japanese-speakers, "Hamlet" is definitely a .
Not too many Japanese-speakers would know what you meant if you used , either.