Simple 4-line rhymes are usually characterized by having a simple rhyme scheme of ABCB repeated throughout the entire poem.
An early poetic form that uses the simple 4-line rhyme scheme is the pantoum.
[1] A pantoum constist of a series of 4 line stanzas, using the simple 4-line rhyme scheme, in which the second and fourth lines from one stanza act as the first and third lines of the following stanza.
Pantoums evolved from short Malaysian folk poems in the fifteenth century.
[1] Many poets and authors use this pattern, including popular children's poets Bruce Larkin and Kenn Nesbitt.