Question: how many types of poetry are there?
Answer: Blank verse. Blank verse is poetry written with a precise meter—almost always iambic pentameter—that does not rhyme. ... 
Rhymed poetry. In contrast to blank verse, rhymed poems rhyme by definition, although their scheme varies. ... 
Free verse. ... 
Epics. ... 
Narrative poetry. ... 
Haiku. ... 
Pastoral poetry. ... 
Sonnet.