  In the context of anomaly-mediated supersymmetry breaking, it is natural for
vectorlike fields and singlets to have supersymmetry breaking masses of order
10 TeV, and therefore act as messengers of supersymmetry breaking. We show that
this can give rise to phenomenologically viable spectra compatible with
perturbative gauge coupling unification. The minimal model interpolates
continuously between pure anomaly mediation and gauge mediation with a
messenger scale of order 10 TeV. It is also possible to have non-minimal models
with more degenerate specta, with some squarks lighter than sleptons. These
models reduce to the MSSM at low energies and incorporate a natural solution of
the mu problem. The minimal model has four continuous parameters and one
discrete parameter (the number of messengers). The LEP Higgs mass bound can be
satisfied in the minimal model by tuning parameters at the GUT scale to one
part in 50.
