  Based on the T-dual constructions of supersymmetric intersecting D6-models on
Z_2 x Z_2 orientifolds, whose electroweak sector is parallel with the
orientifold planes with Sp(2f)_L x Sp(2f)_R gauge symmetry (hep-th/0407178), we
derive and classify Standard Model-like vacua with RR and NSNS fluxes, which
stabilize toroidal complex structure moduli and the dilaton. We find consistent
four-family (f=4) and two-family (f=2) models with one- and two-units of the
quantized flux, respectively.
  Such models typically possess additional gauge group factors with negative
beta functions and may lead, via gaugino condensation, to stabilization of
toroidal Kahler moduli. These models have chiral exotics.
