What kinds of English and American poems are there?

You can buy an introduction to English and American poetry by FLTRP, which I think is very good.

Blank poetry is a kind of poetry, which is characterized by regular meter without rhyme. In English, the most commonly used meter of blank verse is iambic pentameter.

Blank poem: an English metrical poem. Each line consists of five long and short steps-ten syllables, and each line has no sound and no rhyme. All feet adopt iambic pentameter. Poems that do not rhyme are called blank poems or white poems. It is often used in drama and narrative poetry. Shakespeare's plays and Milton's Paradise Lost are both written in blank verse. Rhyming poems are called rhyming poems. Blank verse is different from free verse. Although blank verse does not rhyme, it has a fixed rhythm, and the promotion and suppression of pentameter is the most common.

Free verse is a form of poetry, which reflects meter, rhythm or any other musical form. Free verse is a form of poetry that is not limited by beats, rhymes or other musical beats.