morality play vs dramatic play

morality play and dramatic play both are nouns.

Word	Noun	Adjective	Verb	Adverb
morality play	Yes	No	No	No
dramatic play	Yes	No	No	No

As nouns, dramatic play is a hypernym of morality play; that is, dramatic play is a word with a broader meaning than morality play:

morality play: an allegorical play popular in the 15th and 16th centuries; characters personified virtues and vices
dramatic play: a dramatic work intended for performance by actors on a stage

Other hypernyms of morality play include drama, play.

morality play (noun)	dramatic play (noun)
an allegorical play popular in the 15th and 16th centuries; characters personified virtues and vices	a dramatic work intended for performance by actors on a stage