Conditions for flux compactifications can be classified by SU(3) structures. Generalized complex geometry helps to order the array of possibilities. The resulting picture agrees with indications on mirror symmetry with fluxes coming from several sources (T–duality, spontaneous supersymmetry breaking, A and B models). The topology of mirror symmetry with fluxes can then be used to produce explicit examples, and to check what kind of ”massive cohomology” we need for general SU(3) structure compactifications.