Haiku. The haiku (or hokku) is an ancient form of Japanese poetry that has become very popular all over the world. ... Free verse. Free verse is a popular style of modern poetry, and as its name suggests there is a fair amount of freedom when it comes to writing a poem like this. ... Sonnet. ... Acrostic. ... Villanelle. ... Limerick. ... Ode. ... Elegy. More items...