Weak Bruhat interval modules of the 0-Hecke algebra in type A offer a unified framework for studying modules associated to quasisymmetric functions.  This class of modules has recently been generalized from type A to all Coxeter types. In this talk, we present a complete classification of weak Bruhat interval modules up to isomorphism, and thereby answering an open question of Jung-Kim-Lee-Oh and confirming a conjecture of Kim-Lee-Oh.